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Finding the Fourth Proportional to 2,385.29, 3,574.03 and 2,294.17

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Solution

The fourth proportional to 2,385.29, 3,574.03 and 2,294.17 is: 3,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.29 : 3,574.03 = 2,294.17 : x
  2. Step 2: Convert to fraction form
    2,385.29/3,574.03 = 2,294.17/x
  3. Step 3: Cross multiply
    2,385.29x = 3,574.03 × 2,294.17
  4. Step 4: Simplify right side
    2,385.29x = 8,199,432.41
  5. Step 5: Solve for x
    x = 8,199,432.41/2,385.29
  6. Step 6: Final answer
    x = 3,437.50

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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.