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Finding the Fourth Proportional to 2,657.86, 3,986.64 and 1,014.58

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Solution

The fourth proportional to 2,657.86, 3,986.64 and 1,014.58 is: 1,521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.86 : 3,986.64 = 1,014.58 : x
  2. Step 2: Convert to fraction form
    2,657.86/3,986.64 = 1,014.58/x
  3. Step 3: Cross multiply
    2,657.86x = 3,986.64 × 1,014.58
  4. Step 4: Simplify right side
    2,657.86x = 4,044,765.21
  5. Step 5: Solve for x
    x = 4,044,765.21/2,657.86
  6. Step 6: Final answer
    x = 1,521.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.