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Finding the Fourth Proportional to 1,782.34, 2,673.66 and 483.82

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Solution

The fourth proportional to 1,782.34, 2,673.66 and 483.82 is: 725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.34 : 2,673.66 = 483.82 : x
  2. Step 2: Convert to fraction form
    1,782.34/2,673.66 = 483.82/x
  3. Step 3: Cross multiply
    1,782.34x = 2,673.66 × 483.82
  4. Step 4: Simplify right side
    1,782.34x = 1,293,570.18
  5. Step 5: Solve for x
    x = 1,293,570.18/1,782.34
  6. Step 6: Final answer
    x = 725.77

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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.