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Finding the Fourth Proportional to 3,132.16, 4,698.72 and 940.64

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Solution

The fourth proportional to 3,132.16, 4,698.72 and 940.64 is: 1,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.16 : 4,698.72 = 940.64 : x
  2. Step 2: Convert to fraction form
    3,132.16/4,698.72 = 940.64/x
  3. Step 3: Cross multiply
    3,132.16x = 4,698.72 × 940.64
  4. Step 4: Simplify right side
    3,132.16x = 4,419,803.98
  5. Step 5: Solve for x
    x = 4,419,803.98/3,132.16
  6. Step 6: Final answer
    x = 1,411.10

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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.