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Finding the Fourth Proportional to 2,672.32, 4,009.12 and 917.40

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Solution

The fourth proportional to 2,672.32, 4,009.12 and 917.40 is: 1,376.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.32 : 4,009.12 = 917.40 : x
  2. Step 2: Convert to fraction form
    2,672.32/4,009.12 = 917.40/x
  3. Step 3: Cross multiply
    2,672.32x = 4,009.12 × 917.40
  4. Step 4: Simplify right side
    2,672.32x = 3,677,966.69
  5. Step 5: Solve for x
    x = 3,677,966.69/2,672.32
  6. Step 6: Final answer
    x = 1,376.32

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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.