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Finding the Fourth Proportional to 2,471.64, 3,703.78 and 1,374.49

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Solution

The fourth proportional to 2,471.64, 3,703.78 and 1,374.49 is: 2,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.64 : 3,703.78 = 1,374.49 : x
  2. Step 2: Convert to fraction form
    2,471.64/3,703.78 = 1,374.49/x
  3. Step 3: Cross multiply
    2,471.64x = 3,703.78 × 1,374.49
  4. Step 4: Simplify right side
    2,471.64x = 5,090,808.57
  5. Step 5: Solve for x
    x = 5,090,808.57/2,471.64
  6. Step 6: Final answer
    x = 2,059.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.