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Finding the Fourth Proportional to 2,347.74, 3,517.74 and 1,114.92

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Solution

The fourth proportional to 2,347.74, 3,517.74 and 1,114.92 is: 1,670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.74 : 3,517.74 = 1,114.92 : x
  2. Step 2: Convert to fraction form
    2,347.74/3,517.74 = 1,114.92/x
  3. Step 3: Cross multiply
    2,347.74x = 3,517.74 × 1,114.92
  4. Step 4: Simplify right side
    2,347.74x = 3,921,998.68
  5. Step 5: Solve for x
    x = 3,921,998.68/2,347.74
  6. Step 6: Final answer
    x = 1,670.54

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1.5x scale

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.