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Finding the Fourth Proportional to 2,560.59, 3,840.08 and 1,261.89

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Solution

The fourth proportional to 2,560.59, 3,840.08 and 1,261.89 is: 1,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.59 : 3,840.08 = 1,261.89 : x
  2. Step 2: Convert to fraction form
    2,560.59/3,840.08 = 1,261.89/x
  3. Step 3: Cross multiply
    2,560.59x = 3,840.08 × 1,261.89
  4. Step 4: Simplify right side
    2,560.59x = 4,845,752.24
  5. Step 5: Solve for x
    x = 4,845,752.24/2,560.59
  6. Step 6: Final answer
    x = 1,892.44

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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.