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Finding the Fourth Proportional to 1,686.77, 2,517.67 and 1,582.89

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Solution

The fourth proportional to 1,686.77, 2,517.67 and 1,582.89 is: 2,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.77 : 2,517.67 = 1,582.89 : x
  2. Step 2: Convert to fraction form
    1,686.77/2,517.67 = 1,582.89/x
  3. Step 3: Cross multiply
    1,686.77x = 2,517.67 × 1,582.89
  4. Step 4: Simplify right side
    1,686.77x = 3,985,186.75
  5. Step 5: Solve for x
    x = 3,985,186.75/1,686.77
  6. Step 6: Final answer
    x = 2,362.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.