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Finding the Fourth Proportional to 2,107.43, 3,156.14 and 1,064.15

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Solution

The fourth proportional to 2,107.43, 3,156.14 and 1,064.15 is: 1,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.43 : 3,156.14 = 1,064.15 : x
  2. Step 2: Convert to fraction form
    2,107.43/3,156.14 = 1,064.15/x
  3. Step 3: Cross multiply
    2,107.43x = 3,156.14 × 1,064.15
  4. Step 4: Simplify right side
    2,107.43x = 3,358,606.38
  5. Step 5: Solve for x
    x = 3,358,606.38/2,107.43
  6. Step 6: Final answer
    x = 1,593.70

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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.