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Finding the Fourth Proportional to 2,445.85, 3,666.95 and 1,471.73

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Solution

The fourth proportional to 2,445.85, 3,666.95 and 1,471.73 is: 2,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.85 : 3,666.95 = 1,471.73 : x
  2. Step 2: Convert to fraction form
    2,445.85/3,666.95 = 1,471.73/x
  3. Step 3: Cross multiply
    2,445.85x = 3,666.95 × 1,471.73
  4. Step 4: Simplify right side
    2,445.85x = 5,396,734.63
  5. Step 5: Solve for x
    x = 5,396,734.63/2,445.85
  6. Step 6: Final answer
    x = 2,206.49

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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.