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Finding the Fourth Proportional to 1,686.50, 2,327.62 and 1,612.70

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Solution

The fourth proportional to 1,686.50, 2,327.62 and 1,612.70 is: 2,225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.50 : 2,327.62 = 1,612.70 : x
  2. Step 2: Convert to fraction form
    1,686.50/2,327.62 = 1,612.70/x
  3. Step 3: Cross multiply
    1,686.50x = 2,327.62 × 1,612.70
  4. Step 4: Simplify right side
    1,686.50x = 3,753,752.77
  5. Step 5: Solve for x
    x = 3,753,752.77/1,686.50
  6. Step 6: Final answer
    x = 2,225.77

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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.