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Finding the Fourth Proportional to 2,354.85, 3,532.28 and 2,314.35

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Solution

The fourth proportional to 2,354.85, 3,532.28 and 2,314.35 is: 3,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.85 : 3,532.28 = 2,314.35 : x
  2. Step 2: Convert to fraction form
    2,354.85/3,532.28 = 2,314.35/x
  3. Step 3: Cross multiply
    2,354.85x = 3,532.28 × 2,314.35
  4. Step 4: Simplify right side
    2,354.85x = 8,174,920.65
  5. Step 5: Solve for x
    x = 8,174,920.65/2,354.85
  6. Step 6: Final answer
    x = 3,471.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.