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Finding the Fourth Proportional to 2,358.73, 3,533.13 and 1,124.89

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Solution

The fourth proportional to 2,358.73, 3,533.13 and 1,124.89 is: 1,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.73 : 3,533.13 = 1,124.89 : x
  2. Step 2: Convert to fraction form
    2,358.73/3,533.13 = 1,124.89/x
  3. Step 3: Cross multiply
    2,358.73x = 3,533.13 × 1,124.89
  4. Step 4: Simplify right side
    2,358.73x = 3,974,382.61
  5. Step 5: Solve for x
    x = 3,974,382.61/2,358.73
  6. Step 6: Final answer
    x = 1,684.97

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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.