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Finding the Fourth Proportional to 2,565.70, 3,540.68 and 1,386.77

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Solution

The fourth proportional to 2,565.70, 3,540.68 and 1,386.77 is: 1,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.70 : 3,540.68 = 1,386.77 : x
  2. Step 2: Convert to fraction form
    2,565.70/3,540.68 = 1,386.77/x
  3. Step 3: Cross multiply
    2,565.70x = 3,540.68 × 1,386.77
  4. Step 4: Simplify right side
    2,565.70x = 4,910,089.37
  5. Step 5: Solve for x
    x = 4,910,089.37/2,565.70
  6. Step 6: Final answer
    x = 1,913.74

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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.