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Finding the Fourth Proportional to 2,657.97, 3,987.56 and 1,271.66

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Solution

The fourth proportional to 2,657.97, 3,987.56 and 1,271.66 is: 1,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.97 : 3,987.56 = 1,271.66 : x
  2. Step 2: Convert to fraction form
    2,657.97/3,987.56 = 1,271.66/x
  3. Step 3: Cross multiply
    2,657.97x = 3,987.56 × 1,271.66
  4. Step 4: Simplify right side
    2,657.97x = 5,070,803.79
  5. Step 5: Solve for x
    x = 5,070,803.79/2,657.97
  6. Step 6: Final answer
    x = 1,907.77

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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.