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Finding the Fourth Proportional to 1,742.12, 2,403.71 and 985.91

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Solution

The fourth proportional to 1,742.12, 2,403.71 and 985.91 is: 1,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.12 : 2,403.71 = 985.91 : x
  2. Step 2: Convert to fraction form
    1,742.12/2,403.71 = 985.91/x
  3. Step 3: Cross multiply
    1,742.12x = 2,403.71 × 985.91
  4. Step 4: Simplify right side
    1,742.12x = 2,369,824.78
  5. Step 5: Solve for x
    x = 2,369,824.78/1,742.12
  6. Step 6: Final answer
    x = 1,360.31

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