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Finding the Fourth Proportional to 2,565.84, 3,542.22 and 2,167.32

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Solution

The fourth proportional to 2,565.84, 3,542.22 and 2,167.32 is: 2,992.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.84 : 3,542.22 = 2,167.32 : x
  2. Step 2: Convert to fraction form
    2,565.84/3,542.22 = 2,167.32/x
  3. Step 3: Cross multiply
    2,565.84x = 3,542.22 × 2,167.32
  4. Step 4: Simplify right side
    2,565.84x = 7,677,124.25
  5. Step 5: Solve for x
    x = 7,677,124.25/2,565.84
  6. Step 6: Final answer
    x = 2,992.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.