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Finding the Fourth Proportional to 2,656.93, 3,984.85 and 2,525.20

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Solution

The fourth proportional to 2,656.93, 3,984.85 and 2,525.20 is: 3,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.93 : 3,984.85 = 2,525.20 : x
  2. Step 2: Convert to fraction form
    2,656.93/3,984.85 = 2,525.20/x
  3. Step 3: Cross multiply
    2,656.93x = 3,984.85 × 2,525.20
  4. Step 4: Simplify right side
    2,656.93x = 10,062,543.22
  5. Step 5: Solve for x
    x = 10,062,543.22/2,656.93
  6. Step 6: Final answer
    x = 3,787.28

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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.