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Finding the Fourth Proportional to 2,561.76, 3,840.23 and 1,390.04

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Solution

The fourth proportional to 2,561.76, 3,840.23 and 1,390.04 is: 2,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.76 : 3,840.23 = 1,390.04 : x
  2. Step 2: Convert to fraction form
    2,561.76/3,840.23 = 1,390.04/x
  3. Step 3: Cross multiply
    2,561.76x = 3,840.23 × 1,390.04
  4. Step 4: Simplify right side
    2,561.76x = 5,338,073.31
  5. Step 5: Solve for x
    x = 5,338,073.31/2,561.76
  6. Step 6: Final answer
    x = 2,083.76

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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.