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Finding the Fourth Proportional to 2,463.74, 3,695.26 and 708.90

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Solution

The fourth proportional to 2,463.74, 3,695.26 and 708.90 is: 1,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.74 : 3,695.26 = 708.90 : x
  2. Step 2: Convert to fraction form
    2,463.74/3,695.26 = 708.90/x
  3. Step 3: Cross multiply
    2,463.74x = 3,695.26 × 708.90
  4. Step 4: Simplify right side
    2,463.74x = 2,619,569.81
  5. Step 5: Solve for x
    x = 2,619,569.81/2,463.74
  6. Step 6: Final answer
    x = 1,063.25

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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.