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Finding the Fourth Proportional to 2,079, 3,116.07 and 1,154.12

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Solution

The fourth proportional to 2,079, 3,116.07 and 1,154.12 is: 1,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079 : 3,116.07 = 1,154.12 : x
  2. Step 2: Convert to fraction form
    2,079/3,116.07 = 1,154.12/x
  3. Step 3: Cross multiply
    2,079x = 3,116.07 × 1,154.12
  4. Step 4: Simplify right side
    2,079x = 3,596,303.13
  5. Step 5: Solve for x
    x = 3,596,303.13/2,079
  6. Step 6: Final answer
    x = 1,729.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.