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Finding the Fourth Proportional to 2,565.77, 3,540.76 and 1,386.84

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Solution

The fourth proportional to 2,565.77, 3,540.76 and 1,386.84 is: 1,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.77 : 3,540.76 = 1,386.84 : x
  2. Step 2: Convert to fraction form
    2,565.77/3,540.76 = 1,386.84/x
  3. Step 3: Cross multiply
    2,565.77x = 3,540.76 × 1,386.84
  4. Step 4: Simplify right side
    2,565.77x = 4,910,467.60
  5. Step 5: Solve for x
    x = 4,910,467.60/2,565.77
  6. Step 6: Final answer
    x = 1,913.84

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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.