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Finding the Fourth Proportional to 1,686.42, 2,326.73 and 1,162.76

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Solution

The fourth proportional to 1,686.42, 2,326.73 and 1,162.76 is: 1,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.42 : 2,326.73 = 1,162.76 : x
  2. Step 2: Convert to fraction form
    1,686.42/2,326.73 = 1,162.76/x
  3. Step 3: Cross multiply
    1,686.42x = 2,326.73 × 1,162.76
  4. Step 4: Simplify right side
    1,686.42x = 2,705,411.13
  5. Step 5: Solve for x
    x = 2,705,411.13/1,686.42
  6. Step 6: Final answer
    x = 1,604.23

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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.