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Finding the Fourth Proportional to 2,473.66, 3,710.02 and 1,594.78

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Solution

The fourth proportional to 2,473.66, 3,710.02 and 1,594.78 is: 2,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.66 : 3,710.02 = 1,594.78 : x
  2. Step 2: Convert to fraction form
    2,473.66/3,710.02 = 1,594.78/x
  3. Step 3: Cross multiply
    2,473.66x = 3,710.02 × 1,594.78
  4. Step 4: Simplify right side
    2,473.66x = 5,916,665.70
  5. Step 5: Solve for x
    x = 5,916,665.70/2,473.66
  6. Step 6: Final answer
    x = 2,391.87

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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.