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Finding the Fourth Proportional to 2,565.84, 3,542.22 and 1,975.08

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Solution

The fourth proportional to 2,565.84, 3,542.22 and 1,975.08 is: 2,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.84 : 3,542.22 = 1,975.08 : x
  2. Step 2: Convert to fraction form
    2,565.84/3,542.22 = 1,975.08/x
  3. Step 3: Cross multiply
    2,565.84x = 3,542.22 × 1,975.08
  4. Step 4: Simplify right side
    2,565.84x = 6,996,167.88
  5. Step 5: Solve for x
    x = 6,996,167.88/2,565.84
  6. Step 6: Final answer
    x = 2,726.66

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Why These Related Problems?

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