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Finding the Fourth Proportional to 2,095.49, 3,144.72 and 925.78

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Solution

The fourth proportional to 2,095.49, 3,144.72 and 925.78 is: 1,389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.49 : 3,144.72 = 925.78 : x
  2. Step 2: Convert to fraction form
    2,095.49/3,144.72 = 925.78/x
  3. Step 3: Cross multiply
    2,095.49x = 3,144.72 × 925.78
  4. Step 4: Simplify right side
    2,095.49x = 2,911,318.88
  5. Step 5: Solve for x
    x = 2,911,318.88/2,095.49
  6. Step 6: Final answer
    x = 1,389.33

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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.