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Finding the Fourth Proportional to 2,288.40, 3,432.84 and 901.54

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Solution

The fourth proportional to 2,288.40, 3,432.84 and 901.54 is: 1,352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.40 : 3,432.84 = 901.54 : x
  2. Step 2: Convert to fraction form
    2,288.40/3,432.84 = 901.54/x
  3. Step 3: Cross multiply
    2,288.40x = 3,432.84 × 901.54
  4. Step 4: Simplify right side
    2,288.40x = 3,094,842.57
  5. Step 5: Solve for x
    x = 3,094,842.57/2,288.40
  6. Step 6: Final answer
    x = 1,352.40

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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.