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Finding the Fourth Proportional to 2,491.52, 3,438 and 1,496.88

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Solution

The fourth proportional to 2,491.52, 3,438 and 1,496.88 is: 2,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.52 : 3,438 = 1,496.88 : x
  2. Step 2: Convert to fraction form
    2,491.52/3,438 = 1,496.88/x
  3. Step 3: Cross multiply
    2,491.52x = 3,438 × 1,496.88
  4. Step 4: Simplify right side
    2,491.52x = 5,146,273.44
  5. Step 5: Solve for x
    x = 5,146,273.44/2,491.52
  6. Step 6: Final answer
    x = 2,065.52

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1.5x scale

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.