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Finding the Fourth Proportional to 2,094.47, 3,142.15 and 707.74

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Solution

The fourth proportional to 2,094.47, 3,142.15 and 707.74 is: 1,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.47 : 3,142.15 = 707.74 : x
  2. Step 2: Convert to fraction form
    2,094.47/3,142.15 = 707.74/x
  3. Step 3: Cross multiply
    2,094.47x = 3,142.15 × 707.74
  4. Step 4: Simplify right side
    2,094.47x = 2,223,820.59
  5. Step 5: Solve for x
    x = 2,223,820.59/2,094.47
  6. Step 6: Final answer
    x = 1,061.76

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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.