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Finding the Fourth Proportional to 3,132.87, 4,699.92 and 941.82

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Solution

The fourth proportional to 3,132.87, 4,699.92 and 941.82 is: 1,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.87 : 4,699.92 = 941.82 : x
  2. Step 2: Convert to fraction form
    3,132.87/4,699.92 = 941.82/x
  3. Step 3: Cross multiply
    3,132.87x = 4,699.92 × 941.82
  4. Step 4: Simplify right side
    3,132.87x = 4,426,478.65
  5. Step 5: Solve for x
    x = 4,426,478.65/3,132.87
  6. Step 6: Final answer
    x = 1,412.91

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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.