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Finding the Fourth Proportional to 3,157.38, 4,740.12 and 1,987.74

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Solution

The fourth proportional to 3,157.38, 4,740.12 and 1,987.74 is: 2,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.38 : 4,740.12 = 1,987.74 : x
  2. Step 2: Convert to fraction form
    3,157.38/4,740.12 = 1,987.74/x
  3. Step 3: Cross multiply
    3,157.38x = 4,740.12 × 1,987.74
  4. Step 4: Simplify right side
    3,157.38x = 9,422,126.13
  5. Step 5: Solve for x
    x = 9,422,126.13/3,157.38
  6. Step 6: Final answer
    x = 2,984.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.