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Finding the Fourth Proportional to 2,657.93, 3,987.05 and 1,014.71

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Solution

The fourth proportional to 2,657.93, 3,987.05 and 1,014.71 is: 1,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.93 : 3,987.05 = 1,014.71 : x
  2. Step 2: Convert to fraction form
    2,657.93/3,987.05 = 1,014.71/x
  3. Step 3: Cross multiply
    2,657.93x = 3,987.05 × 1,014.71
  4. Step 4: Simplify right side
    2,657.93x = 4,045,694.43
  5. Step 5: Solve for x
    x = 4,045,694.43/2,657.93
  6. Step 6: Final answer
    x = 1,522.12

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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.