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Finding the Fourth Proportional to 2,565.82, 3,540.84 and 1,386.89

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Solution

The fourth proportional to 2,565.82, 3,540.84 and 1,386.89 is: 1,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.82 : 3,540.84 = 1,386.89 : x
  2. Step 2: Convert to fraction form
    2,565.82/3,540.84 = 1,386.89/x
  3. Step 3: Cross multiply
    2,565.82x = 3,540.84 × 1,386.89
  4. Step 4: Simplify right side
    2,565.82x = 4,910,752.60
  5. Step 5: Solve for x
    x = 4,910,752.60/2,565.82
  6. Step 6: Final answer
    x = 1,913.91

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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.