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Finding the Fourth Proportional to 2,514.80, 3,470.11 and 1,438.07

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Solution

The fourth proportional to 2,514.80, 3,470.11 and 1,438.07 is: 1,984.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.80 : 3,470.11 = 1,438.07 : x
  2. Step 2: Convert to fraction form
    2,514.80/3,470.11 = 1,438.07/x
  3. Step 3: Cross multiply
    2,514.80x = 3,470.11 × 1,438.07
  4. Step 4: Simplify right side
    2,514.80x = 4,990,240.14
  5. Step 5: Solve for x
    x = 4,990,240.14/2,514.80
  6. Step 6: Final answer
    x = 1,984.35

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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.