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Finding the Fourth Proportional to 2,514.81, 3,470.34 and 1,677.03

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Solution

The fourth proportional to 2,514.81, 3,470.34 and 1,677.03 is: 2,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.81 : 3,470.34 = 1,677.03 : x
  2. Step 2: Convert to fraction form
    2,514.81/3,470.34 = 1,677.03/x
  3. Step 3: Cross multiply
    2,514.81x = 3,470.34 × 1,677.03
  4. Step 4: Simplify right side
    2,514.81x = 5,819,864.29
  5. Step 5: Solve for x
    x = 5,819,864.29/2,514.81
  6. Step 6: Final answer
    x = 2,314.24

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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.