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Finding the Fourth Proportional to 2,114.73, 2,916.72 and 1,405.31

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Solution

The fourth proportional to 2,114.73, 2,916.72 and 1,405.31 is: 1,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.73 : 2,916.72 = 1,405.31 : x
  2. Step 2: Convert to fraction form
    2,114.73/2,916.72 = 1,405.31/x
  3. Step 3: Cross multiply
    2,114.73x = 2,916.72 × 1,405.31
  4. Step 4: Simplify right side
    2,114.73x = 4,098,881.20
  5. Step 5: Solve for x
    x = 4,098,881.20/2,114.73
  6. Step 6: Final answer
    x = 1,938.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.