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Finding the Fourth Proportional to 1,987.71, 2,742.59 and 1,201.74

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Solution

The fourth proportional to 1,987.71, 2,742.59 and 1,201.74 is: 1,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.71 : 2,742.59 = 1,201.74 : x
  2. Step 2: Convert to fraction form
    1,987.71/2,742.59 = 1,201.74/x
  3. Step 3: Cross multiply
    1,987.71x = 2,742.59 × 1,201.74
  4. Step 4: Simplify right side
    1,987.71x = 3,295,872.83
  5. Step 5: Solve for x
    x = 3,295,872.83/1,987.71
  6. Step 6: Final answer
    x = 1,658.13

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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.