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Finding the Fourth Proportional to 1,686.48, 2,326.94 and 1,023.31

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Solution

The fourth proportional to 1,686.48, 2,326.94 and 1,023.31 is: 1,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.48 : 2,326.94 = 1,023.31 : x
  2. Step 2: Convert to fraction form
    1,686.48/2,326.94 = 1,023.31/x
  3. Step 3: Cross multiply
    1,686.48x = 2,326.94 × 1,023.31
  4. Step 4: Simplify right side
    1,686.48x = 2,381,175.85
  5. Step 5: Solve for x
    x = 2,381,175.85/1,686.48
  6. Step 6: Final answer
    x = 1,411.92

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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.