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Finding the Fourth Proportional to 1,741,852.96, 2,613,635.47 and 782,986.06

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Solution

The fourth proportional to 1,741,852.96, 2,613,635.47 and 782,986.06 is: 1,174,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,852.96 : 2,613,635.47 = 782,986.06 : x
  2. Step 2: Convert to fraction form
    1,741,852.96/2,613,635.47 = 782,986.06/x
  3. Step 3: Cross multiply
    1,741,852.96x = 2,613,635.47 × 782,986.06
  4. Step 4: Simplify right side
    1,741,852.96x = 2,046,440,143,177.33
  5. Step 5: Solve for x
    x = 2,046,440,143,177.33/1,741,852.96
  6. Step 6: Final answer
    x = 1,174,863.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.