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Finding the Fourth Proportional to 2,824.93, 3,897.85 and 1,565.93

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Solution

The fourth proportional to 2,824.93, 3,897.85 and 1,565.93 is: 2,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.93 : 3,897.85 = 1,565.93 : x
  2. Step 2: Convert to fraction form
    2,824.93/3,897.85 = 1,565.93/x
  3. Step 3: Cross multiply
    2,824.93x = 3,897.85 × 1,565.93
  4. Step 4: Simplify right side
    2,824.93x = 6,103,760.25
  5. Step 5: Solve for x
    x = 6,103,760.25/2,824.93
  6. Step 6: Final answer
    x = 2,160.68

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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.