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Finding the Fourth Proportional to 2,987.20, 4,480.56 and 935.20

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Solution

The fourth proportional to 2,987.20, 4,480.56 and 935.20 is: 1,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.20 : 4,480.56 = 935.20 : x
  2. Step 2: Convert to fraction form
    2,987.20/4,480.56 = 935.20/x
  3. Step 3: Cross multiply
    2,987.20x = 4,480.56 × 935.20
  4. Step 4: Simplify right side
    2,987.20x = 4,190,219.71
  5. Step 5: Solve for x
    x = 4,190,219.71/2,987.20
  6. Step 6: Final answer
    x = 1,402.72

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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.