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Finding the Fourth Proportional to 2,470.50, 3,701.52 and 2,125.44

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Solution

The fourth proportional to 2,470.50, 3,701.52 and 2,125.44 is: 3,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.50 : 3,701.52 = 2,125.44 : x
  2. Step 2: Convert to fraction form
    2,470.50/3,701.52 = 2,125.44/x
  3. Step 3: Cross multiply
    2,470.50x = 3,701.52 × 2,125.44
  4. Step 4: Simplify right side
    2,470.50x = 7,867,358.67
  5. Step 5: Solve for x
    x = 7,867,358.67/2,470.50
  6. Step 6: Final answer
    x = 3,184.52

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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.