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Finding the Fourth Proportional to 2,514.96, 3,470.62 and 1,395.90

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Solution

The fourth proportional to 2,514.96, 3,470.62 and 1,395.90 is: 1,926.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.96 : 3,470.62 = 1,395.90 : x
  2. Step 2: Convert to fraction form
    2,514.96/3,470.62 = 1,395.90/x
  3. Step 3: Cross multiply
    2,514.96x = 3,470.62 × 1,395.90
  4. Step 4: Simplify right side
    2,514.96x = 4,844,634.97
  5. Step 5: Solve for x
    x = 4,844,634.97/2,514.96
  6. Step 6: Final answer
    x = 1,926.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.