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Finding the Fourth Proportional to 2,094.29, 3,141.68 and 707.15

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Solution

The fourth proportional to 2,094.29, 3,141.68 and 707.15 is: 1,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.29 : 3,141.68 = 707.15 : x
  2. Step 2: Convert to fraction form
    2,094.29/3,141.68 = 707.15/x
  3. Step 3: Cross multiply
    2,094.29x = 3,141.68 × 707.15
  4. Step 4: Simplify right side
    2,094.29x = 2,221,639.01
  5. Step 5: Solve for x
    x = 2,221,639.01/2,094.29
  6. Step 6: Final answer
    x = 1,060.81

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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.