Home / 1,781.11-2,461.08-1,543.24

Finding the Fourth Proportional to 1,781.11, 2,461.08 and 1,543.24

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Solution

The fourth proportional to 1,781.11, 2,461.08 and 1,543.24 is: 2,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.11 : 2,461.08 = 1,543.24 : x
  2. Step 2: Convert to fraction form
    1,781.11/2,461.08 = 1,543.24/x
  3. Step 3: Cross multiply
    1,781.11x = 2,461.08 × 1,543.24
  4. Step 4: Simplify right side
    1,781.11x = 3,798,037.10
  5. Step 5: Solve for x
    x = 3,798,037.10/1,781.11
  6. Step 6: Final answer
    x = 2,132.40

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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.