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Finding the Fourth Proportional to 1,658.49, 2,287.76 and 1,036.41

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Solution

The fourth proportional to 1,658.49, 2,287.76 and 1,036.41 is: 1,429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.49 : 2,287.76 = 1,036.41 : x
  2. Step 2: Convert to fraction form
    1,658.49/2,287.76 = 1,036.41/x
  3. Step 3: Cross multiply
    1,658.49x = 2,287.76 × 1,036.41
  4. Step 4: Simplify right side
    1,658.49x = 2,371,049.41
  5. Step 5: Solve for x
    x = 2,371,049.41/1,658.49
  6. Step 6: Final answer
    x = 1,429.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.