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Finding the Fourth Proportional to 2,649.47, 3,956.49 and 2,495.68

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Solution

The fourth proportional to 2,649.47, 3,956.49 and 2,495.68 is: 3,726.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.47 : 3,956.49 = 2,495.68 : x
  2. Step 2: Convert to fraction form
    2,649.47/3,956.49 = 2,495.68/x
  3. Step 3: Cross multiply
    2,649.47x = 3,956.49 × 2,495.68
  4. Step 4: Simplify right side
    2,649.47x = 9,874,123.07
  5. Step 5: Solve for x
    x = 9,874,123.07/2,649.47
  6. Step 6: Final answer
    x = 3,726.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.