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Finding the Fourth Proportional to 2,392.47, 3,565.22 and 2,314.17

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Solution

The fourth proportional to 2,392.47, 3,565.22 and 2,314.17 is: 3,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.47 : 3,565.22 = 2,314.17 : x
  2. Step 2: Convert to fraction form
    2,392.47/3,565.22 = 2,314.17/x
  3. Step 3: Cross multiply
    2,392.47x = 3,565.22 × 2,314.17
  4. Step 4: Simplify right side
    2,392.47x = 8,250,513.60
  5. Step 5: Solve for x
    x = 8,250,513.60/2,392.47
  6. Step 6: Final answer
    x = 3,448.53

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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.