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Finding the Fourth Proportional to 1,686.75, 2,325.96 and 1,023.36

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Solution

The fourth proportional to 1,686.75, 2,325.96 and 1,023.36 is: 1,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.75 : 2,325.96 = 1,023.36 : x
  2. Step 2: Convert to fraction form
    1,686.75/2,325.96 = 1,023.36/x
  3. Step 3: Cross multiply
    1,686.75x = 2,325.96 × 1,023.36
  4. Step 4: Simplify right side
    1,686.75x = 2,380,294.43
  5. Step 5: Solve for x
    x = 2,380,294.43/1,686.75
  6. Step 6: Final answer
    x = 1,411.17

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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.