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Finding the Fourth Proportional to 2,916.24, 4,373.69 and 836.20

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Solution

The fourth proportional to 2,916.24, 4,373.69 and 836.20 is: 1,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.24 : 4,373.69 = 836.20 : x
  2. Step 2: Convert to fraction form
    2,916.24/4,373.69 = 836.20/x
  3. Step 3: Cross multiply
    2,916.24x = 4,373.69 × 836.20
  4. Step 4: Simplify right side
    2,916.24x = 3,657,279.58
  5. Step 5: Solve for x
    x = 3,657,279.58/2,916.24
  6. Step 6: Final answer
    x = 1,254.11

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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.