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Finding the Fourth Proportional to 2,565.92, 3,540.97 and 1,386.99

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Solution

The fourth proportional to 2,565.92, 3,540.97 and 1,386.99 is: 1,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.92 : 3,540.97 = 1,386.99 : x
  2. Step 2: Convert to fraction form
    2,565.92/3,540.97 = 1,386.99/x
  3. Step 3: Cross multiply
    2,565.92x = 3,540.97 × 1,386.99
  4. Step 4: Simplify right side
    2,565.92x = 4,911,302.30
  5. Step 5: Solve for x
    x = 4,911,302.30/2,565.92
  6. Step 6: Final answer
    x = 1,914.05

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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.