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Finding the Fourth Proportional to 2,470.48, 3,709.96 and 2,193.46

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Solution

The fourth proportional to 2,470.48, 3,709.96 and 2,193.46 is: 3,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.48 : 3,709.96 = 2,193.46 : x
  2. Step 2: Convert to fraction form
    2,470.48/3,709.96 = 2,193.46/x
  3. Step 3: Cross multiply
    2,470.48x = 3,709.96 × 2,193.46
  4. Step 4: Simplify right side
    2,470.48x = 8,137,648.86
  5. Step 5: Solve for x
    x = 8,137,648.86/2,470.48
  6. Step 6: Final answer
    x = 3,293.95

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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.