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Finding the Fourth Proportional to 3,132.63, 4,697.53 and 940.93

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Solution

The fourth proportional to 3,132.63, 4,697.53 and 940.93 is: 1,410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.63 : 4,697.53 = 940.93 : x
  2. Step 2: Convert to fraction form
    3,132.63/4,697.53 = 940.93/x
  3. Step 3: Cross multiply
    3,132.63x = 4,697.53 × 940.93
  4. Step 4: Simplify right side
    3,132.63x = 4,420,046.90
  5. Step 5: Solve for x
    x = 4,420,046.90/3,132.63
  6. Step 6: Final answer
    x = 1,410.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.