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Finding the Fourth Proportional to 2,411.53, 3,614.99 and 929.66

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Solution

The fourth proportional to 2,411.53, 3,614.99 and 929.66 is: 1,393.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.53 : 3,614.99 = 929.66 : x
  2. Step 2: Convert to fraction form
    2,411.53/3,614.99 = 929.66/x
  3. Step 3: Cross multiply
    2,411.53x = 3,614.99 × 929.66
  4. Step 4: Simplify right side
    2,411.53x = 3,360,725.12
  5. Step 5: Solve for x
    x = 3,360,725.12/2,411.53
  6. Step 6: Final answer
    x = 1,393.61

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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.