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Finding the Fourth Proportional to 2,674.99, 3,691.56 and 1,496.13

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Solution

The fourth proportional to 2,674.99, 3,691.56 and 1,496.13 is: 2,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.99 : 3,691.56 = 1,496.13 : x
  2. Step 2: Convert to fraction form
    2,674.99/3,691.56 = 1,496.13/x
  3. Step 3: Cross multiply
    2,674.99x = 3,691.56 × 1,496.13
  4. Step 4: Simplify right side
    2,674.99x = 5,523,053.66
  5. Step 5: Solve for x
    x = 5,523,053.66/2,674.99
  6. Step 6: Final answer
    x = 2,064.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.