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Finding the Fourth Proportional to 2,094.64, 3,142.68 and 708.12

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Solution

The fourth proportional to 2,094.64, 3,142.68 and 708.12 is: 1,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.64 : 3,142.68 = 708.12 : x
  2. Step 2: Convert to fraction form
    2,094.64/3,142.68 = 708.12/x
  3. Step 3: Cross multiply
    2,094.64x = 3,142.68 × 708.12
  4. Step 4: Simplify right side
    2,094.64x = 2,225,394.56
  5. Step 5: Solve for x
    x = 2,225,394.56/2,094.64
  6. Step 6: Final answer
    x = 1,062.42

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Why These Related Problems?

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