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Finding the Fourth Proportional to 2,693.40, 3,716.40 and 1,514.04

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Solution

The fourth proportional to 2,693.40, 3,716.40 and 1,514.04 is: 2,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.40 : 3,716.40 = 1,514.04 : x
  2. Step 2: Convert to fraction form
    2,693.40/3,716.40 = 1,514.04/x
  3. Step 3: Cross multiply
    2,693.40x = 3,716.40 × 1,514.04
  4. Step 4: Simplify right side
    2,693.40x = 5,626,778.26
  5. Step 5: Solve for x
    x = 5,626,778.26/2,693.40
  6. Step 6: Final answer
    x = 2,089.10

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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.