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Finding the Fourth Proportional to 2,289.14, 3,432.35 and 900.86

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Solution

The fourth proportional to 2,289.14, 3,432.35 and 900.86 is: 1,350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.14 : 3,432.35 = 900.86 : x
  2. Step 2: Convert to fraction form
    2,289.14/3,432.35 = 900.86/x
  3. Step 3: Cross multiply
    2,289.14x = 3,432.35 × 900.86
  4. Step 4: Simplify right side
    2,289.14x = 3,092,077.65
  5. Step 5: Solve for x
    x = 3,092,077.65/2,289.14
  6. Step 6: Final answer
    x = 1,350.76

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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.