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Finding the Fourth Proportional to 1,987.32, 2,981.28 and 600.47

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Solution

The fourth proportional to 1,987.32, 2,981.28 and 600.47 is: 900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.32 : 2,981.28 = 600.47 : x
  2. Step 2: Convert to fraction form
    1,987.32/2,981.28 = 600.47/x
  3. Step 3: Cross multiply
    1,987.32x = 2,981.28 × 600.47
  4. Step 4: Simplify right side
    1,987.32x = 1,790,169.20
  5. Step 5: Solve for x
    x = 1,790,169.20/1,987.32
  6. Step 6: Final answer
    x = 900.80

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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.