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Finding the Fourth Proportional to 1,781.84, 2,673.16 and 611.92

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Solution

The fourth proportional to 1,781.84, 2,673.16 and 611.92 is: 918.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.84 : 2,673.16 = 611.92 : x
  2. Step 2: Convert to fraction form
    1,781.84/2,673.16 = 611.92/x
  3. Step 3: Cross multiply
    1,781.84x = 2,673.16 × 611.92
  4. Step 4: Simplify right side
    1,781.84x = 1,635,760.07
  5. Step 5: Solve for x
    x = 1,635,760.07/1,781.84
  6. Step 6: Final answer
    x = 918.02

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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.