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Finding the Fourth Proportional to 2,560.88, 3,840.09 and 1,521.02

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Solution

The fourth proportional to 2,560.88, 3,840.09 and 1,521.02 is: 2,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.88 : 3,840.09 = 1,521.02 : x
  2. Step 2: Convert to fraction form
    2,560.88/3,840.09 = 1,521.02/x
  3. Step 3: Cross multiply
    2,560.88x = 3,840.09 × 1,521.02
  4. Step 4: Simplify right side
    2,560.88x = 5,840,834.49
  5. Step 5: Solve for x
    x = 5,840,834.49/2,560.88
  6. Step 6: Final answer
    x = 2,280.80

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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.