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Finding the Fourth Proportional to 2,610.80, 3,925.20 and 2,254.40

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Solution

The fourth proportional to 2,610.80, 3,925.20 and 2,254.40 is: 3,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.80 : 3,925.20 = 2,254.40 : x
  2. Step 2: Convert to fraction form
    2,610.80/3,925.20 = 2,254.40/x
  3. Step 3: Cross multiply
    2,610.80x = 3,925.20 × 2,254.40
  4. Step 4: Simplify right side
    2,610.80x = 8,848,970.88
  5. Step 5: Solve for x
    x = 8,848,970.88/2,610.80
  6. Step 6: Final answer
    x = 3,389.37

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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.