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Finding the Fourth Proportional to 2,912.22, 4,368.54 and 832.40

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Solution

The fourth proportional to 2,912.22, 4,368.54 and 832.40 is: 1,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.22 : 4,368.54 = 832.40 : x
  2. Step 2: Convert to fraction form
    2,912.22/4,368.54 = 832.40/x
  3. Step 3: Cross multiply
    2,912.22x = 4,368.54 × 832.40
  4. Step 4: Simplify right side
    2,912.22x = 3,636,372.70
  5. Step 5: Solve for x
    x = 3,636,372.70/2,912.22
  6. Step 6: Final answer
    x = 1,248.66

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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.