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Finding the Fourth Proportional to 1,781.65, 2,453.43 and 1,221.54

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Solution

The fourth proportional to 1,781.65, 2,453.43 and 1,221.54 is: 1,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.65 : 2,453.43 = 1,221.54 : x
  2. Step 2: Convert to fraction form
    1,781.65/2,453.43 = 1,221.54/x
  3. Step 3: Cross multiply
    1,781.65x = 2,453.43 × 1,221.54
  4. Step 4: Simplify right side
    1,781.65x = 2,996,962.88
  5. Step 5: Solve for x
    x = 2,996,962.88/1,781.65
  6. Step 6: Final answer
    x = 1,682.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.