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Finding the Fourth Proportional to 2,565.40, 3,842.02 and 1,739.20

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Solution

The fourth proportional to 2,565.40, 3,842.02 and 1,739.20 is: 2,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.40 : 3,842.02 = 1,739.20 : x
  2. Step 2: Convert to fraction form
    2,565.40/3,842.02 = 1,739.20/x
  3. Step 3: Cross multiply
    2,565.40x = 3,842.02 × 1,739.20
  4. Step 4: Simplify right side
    2,565.40x = 6,682,041.18
  5. Step 5: Solve for x
    x = 6,682,041.18/2,565.40
  6. Step 6: Final answer
    x = 2,604.68

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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.