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Finding the Fourth Proportional to 2,514.70, 3,470.50 and 1,395.75

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Solution

The fourth proportional to 2,514.70, 3,470.50 and 1,395.75 is: 1,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.70 : 3,470.50 = 1,395.75 : x
  2. Step 2: Convert to fraction form
    2,514.70/3,470.50 = 1,395.75/x
  3. Step 3: Cross multiply
    2,514.70x = 3,470.50 × 1,395.75
  4. Step 4: Simplify right side
    2,514.70x = 4,843,950.38
  5. Step 5: Solve for x
    x = 4,843,950.38/2,514.70
  6. Step 6: Final answer
    x = 1,926.25

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Why These Related Problems?

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