Home / 2,509.26-3,766.68-1,470.48

Finding the Fourth Proportional to 2,509.26, 3,766.68 and 1,470.48

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Solution

The fourth proportional to 2,509.26, 3,766.68 and 1,470.48 is: 2,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.26 : 3,766.68 = 1,470.48 : x
  2. Step 2: Convert to fraction form
    2,509.26/3,766.68 = 1,470.48/x
  3. Step 3: Cross multiply
    2,509.26x = 3,766.68 × 1,470.48
  4. Step 4: Simplify right side
    2,509.26x = 5,538,827.61
  5. Step 5: Solve for x
    x = 5,538,827.61/2,509.26
  6. Step 6: Final answer
    x = 2,207.35

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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.