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Finding the Fourth Proportional to 2,560.59, 3,840.70 and 1,000.30

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Solution

The fourth proportional to 2,560.59, 3,840.70 and 1,000.30 is: 1,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.59 : 3,840.70 = 1,000.30 : x
  2. Step 2: Convert to fraction form
    2,560.59/3,840.70 = 1,000.30/x
  3. Step 3: Cross multiply
    2,560.59x = 3,840.70 × 1,000.30
  4. Step 4: Simplify right side
    2,560.59x = 3,841,840.11
  5. Step 5: Solve for x
    x = 3,841,840.11/2,560.59
  6. Step 6: Final answer
    x = 1,500.37

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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.