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Finding the Fourth Proportional to 2,565.61, 3,867.48 and 2,396.25

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Solution

The fourth proportional to 2,565.61, 3,867.48 and 2,396.25 is: 3,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.61 : 3,867.48 = 2,396.25 : x
  2. Step 2: Convert to fraction form
    2,565.61/3,867.48 = 2,396.25/x
  3. Step 3: Cross multiply
    2,565.61x = 3,867.48 × 2,396.25
  4. Step 4: Simplify right side
    2,565.61x = 9,267,448.95
  5. Step 5: Solve for x
    x = 9,267,448.95/2,565.61
  6. Step 6: Final answer
    x = 3,612.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.