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Finding the Fourth Proportional to 2,279.41, 3,146.10 and 1,493

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Solution

The fourth proportional to 2,279.41, 3,146.10 and 1,493 is: 2,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.41 : 3,146.10 = 1,493 : x
  2. Step 2: Convert to fraction form
    2,279.41/3,146.10 = 1,493/x
  3. Step 3: Cross multiply
    2,279.41x = 3,146.10 × 1,493
  4. Step 4: Simplify right side
    2,279.41x = 4,697,127.30
  5. Step 5: Solve for x
    x = 4,697,127.30/2,279.41
  6. Step 6: Final answer
    x = 2,060.68

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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.