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Finding the Fourth Proportional to 1,495.59, 2,232.07 and 1,456.71

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Solution

The fourth proportional to 1,495.59, 2,232.07 and 1,456.71 is: 2,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.59 : 2,232.07 = 1,456.71 : x
  2. Step 2: Convert to fraction form
    1,495.59/2,232.07 = 1,456.71/x
  3. Step 3: Cross multiply
    1,495.59x = 2,232.07 × 1,456.71
  4. Step 4: Simplify right side
    1,495.59x = 3,251,467.53
  5. Step 5: Solve for x
    x = 3,251,467.53/1,495.59
  6. Step 6: Final answer
    x = 2,174.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.