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Finding the Fourth Proportional to 2,444.60, 3,370.86 and 1,559

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Solution

The fourth proportional to 2,444.60, 3,370.86 and 1,559 is: 2,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.60 : 3,370.86 = 1,559 : x
  2. Step 2: Convert to fraction form
    2,444.60/3,370.86 = 1,559/x
  3. Step 3: Cross multiply
    2,444.60x = 3,370.86 × 1,559
  4. Step 4: Simplify right side
    2,444.60x = 5,255,170.74
  5. Step 5: Solve for x
    x = 5,255,170.74/2,444.60
  6. Step 6: Final answer
    x = 2,149.71

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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.