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Finding the Fourth Proportional to 3,071.20, 4,607.46 and 991.32

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Solution

The fourth proportional to 3,071.20, 4,607.46 and 991.32 is: 1,487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.20 : 4,607.46 = 991.32 : x
  2. Step 2: Convert to fraction form
    3,071.20/4,607.46 = 991.32/x
  3. Step 3: Cross multiply
    3,071.20x = 4,607.46 × 991.32
  4. Step 4: Simplify right side
    3,071.20x = 4,567,484.53
  5. Step 5: Solve for x
    x = 4,567,484.53/3,071.20
  6. Step 6: Final answer
    x = 1,487.20

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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.