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Finding the Fourth Proportional to 1,734.88, 2,386.86 and 1,514.34

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Solution

The fourth proportional to 1,734.88, 2,386.86 and 1,514.34 is: 2,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.88 : 2,386.86 = 1,514.34 : x
  2. Step 2: Convert to fraction form
    1,734.88/2,386.86 = 1,514.34/x
  3. Step 3: Cross multiply
    1,734.88x = 2,386.86 × 1,514.34
  4. Step 4: Simplify right side
    1,734.88x = 3,614,517.57
  5. Step 5: Solve for x
    x = 3,614,517.57/1,734.88
  6. Step 6: Final answer
    x = 2,083.44

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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.