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Finding the Fourth Proportional to 1,686.84, 2,327.20 and 1,023.44

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Solution

The fourth proportional to 1,686.84, 2,327.20 and 1,023.44 is: 1,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.84 : 2,327.20 = 1,023.44 : x
  2. Step 2: Convert to fraction form
    1,686.84/2,327.20 = 1,023.44/x
  3. Step 3: Cross multiply
    1,686.84x = 2,327.20 × 1,023.44
  4. Step 4: Simplify right side
    1,686.84x = 2,381,749.57
  5. Step 5: Solve for x
    x = 2,381,749.57/1,686.84
  6. Step 6: Final answer
    x = 1,411.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.