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Finding the Fourth Proportional to 2,657.56, 3,987.56 and 1,014.48

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Solution

The fourth proportional to 2,657.56, 3,987.56 and 1,014.48 is: 1,522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.56 : 3,987.56 = 1,014.48 : x
  2. Step 2: Convert to fraction form
    2,657.56/3,987.56 = 1,014.48/x
  3. Step 3: Cross multiply
    2,657.56x = 3,987.56 × 1,014.48
  4. Step 4: Simplify right side
    2,657.56x = 4,045,299.87
  5. Step 5: Solve for x
    x = 4,045,299.87/2,657.56
  6. Step 6: Final answer
    x = 1,522.19

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Why These Related Problems?

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