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Finding the Fourth Proportional to 2,562.13, 3,840.79 and 1,390.42

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Solution

The fourth proportional to 2,562.13, 3,840.79 and 1,390.42 is: 2,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.13 : 3,840.79 = 1,390.42 : x
  2. Step 2: Convert to fraction form
    2,562.13/3,840.79 = 1,390.42/x
  3. Step 3: Cross multiply
    2,562.13x = 3,840.79 × 1,390.42
  4. Step 4: Simplify right side
    2,562.13x = 5,340,292.03
  5. Step 5: Solve for x
    x = 5,340,292.03/2,562.13
  6. Step 6: Final answer
    x = 2,084.32

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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.