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Finding the Fourth Proportional to 2,145.98, 3,218.76 and 686.18

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Solution

The fourth proportional to 2,145.98, 3,218.76 and 686.18 is: 1,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.98 : 3,218.76 = 686.18 : x
  2. Step 2: Convert to fraction form
    2,145.98/3,218.76 = 686.18/x
  3. Step 3: Cross multiply
    2,145.98x = 3,218.76 × 686.18
  4. Step 4: Simplify right side
    2,145.98x = 2,208,648.74
  5. Step 5: Solve for x
    x = 2,208,648.74/2,145.98
  6. Step 6: Final answer
    x = 1,029.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.