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Finding the Fourth Proportional to 2,916.38, 4,373.92 and 836.38

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Solution

The fourth proportional to 2,916.38, 4,373.92 and 836.38 is: 1,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.38 : 4,373.92 = 836.38 : x
  2. Step 2: Convert to fraction form
    2,916.38/4,373.92 = 836.38/x
  3. Step 3: Cross multiply
    2,916.38x = 4,373.92 × 836.38
  4. Step 4: Simplify right side
    2,916.38x = 3,658,237.34
  5. Step 5: Solve for x
    x = 3,658,237.34/2,916.38
  6. Step 6: Final answer
    x = 1,254.38

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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.