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Finding the Fourth Proportional to 2,823.86, 3,897.20 and 1,565.32

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Solution

The fourth proportional to 2,823.86, 3,897.20 and 1,565.32 is: 2,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.86 : 3,897.20 = 1,565.32 : x
  2. Step 2: Convert to fraction form
    2,823.86/3,897.20 = 1,565.32/x
  3. Step 3: Cross multiply
    2,823.86x = 3,897.20 × 1,565.32
  4. Step 4: Simplify right side
    2,823.86x = 6,100,357.28
  5. Step 5: Solve for x
    x = 6,100,357.28/2,823.86
  6. Step 6: Final answer
    x = 2,160.29

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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.