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Finding the Fourth Proportional to 2,148.57, 3,223.08 and 916.11

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Solution

The fourth proportional to 2,148.57, 3,223.08 and 916.11 is: 1,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.57 : 3,223.08 = 916.11 : x
  2. Step 2: Convert to fraction form
    2,148.57/3,223.08 = 916.11/x
  3. Step 3: Cross multiply
    2,148.57x = 3,223.08 × 916.11
  4. Step 4: Simplify right side
    2,148.57x = 2,952,695.82
  5. Step 5: Solve for x
    x = 2,952,695.82/2,148.57
  6. Step 6: Final answer
    x = 1,374.26

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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.