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Finding the Fourth Proportional to 1,686.78, 2,518.10 and 1,675.14

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Solution

The fourth proportional to 1,686.78, 2,518.10 and 1,675.14 is: 2,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.78 : 2,518.10 = 1,675.14 : x
  2. Step 2: Convert to fraction form
    1,686.78/2,518.10 = 1,675.14/x
  3. Step 3: Cross multiply
    1,686.78x = 2,518.10 × 1,675.14
  4. Step 4: Simplify right side
    1,686.78x = 4,218,161.66
  5. Step 5: Solve for x
    x = 4,218,161.66/1,686.78
  6. Step 6: Final answer
    x = 2,500.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.