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Finding the Fourth Proportional to 1,966.04, 2,713.13 and 1,081.86

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Solution

The fourth proportional to 1,966.04, 2,713.13 and 1,081.86 is: 1,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.04 : 2,713.13 = 1,081.86 : x
  2. Step 2: Convert to fraction form
    1,966.04/2,713.13 = 1,081.86/x
  3. Step 3: Cross multiply
    1,966.04x = 2,713.13 × 1,081.86
  4. Step 4: Simplify right side
    1,966.04x = 2,935,215.30
  5. Step 5: Solve for x
    x = 2,935,215.30/1,966.04
  6. Step 6: Final answer
    x = 1,492.96

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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.