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Finding the Fourth Proportional to 2,287.70, 3,432.35 and 2,207.70

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Solution

The fourth proportional to 2,287.70, 3,432.35 and 2,207.70 is: 3,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.70 : 3,432.35 = 2,207.70 : x
  2. Step 2: Convert to fraction form
    2,287.70/3,432.35 = 2,207.70/x
  3. Step 3: Cross multiply
    2,287.70x = 3,432.35 × 2,207.70
  4. Step 4: Simplify right side
    2,287.70x = 7,577,599.10
  5. Step 5: Solve for x
    x = 7,577,599.10/2,287.70
  6. Step 6: Final answer
    x = 3,312.32

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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.