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Finding the Fourth Proportional to 3,068.16, 4,601.22 and 987.68

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Solution

The fourth proportional to 3,068.16, 4,601.22 and 987.68 is: 1,481.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.16 : 4,601.22 = 987.68 : x
  2. Step 2: Convert to fraction form
    3,068.16/4,601.22 = 987.68/x
  3. Step 3: Cross multiply
    3,068.16x = 4,601.22 × 987.68
  4. Step 4: Simplify right side
    3,068.16x = 4,544,509.96
  5. Step 5: Solve for x
    x = 4,544,509.96/3,068.16
  6. Step 6: Final answer
    x = 1,481.18

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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.