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Finding the Fourth Proportional to 2,569.06, 3,854.04 and 1,108.27

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Solution

The fourth proportional to 2,569.06, 3,854.04 and 1,108.27 is: 1,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.06 : 3,854.04 = 1,108.27 : x
  2. Step 2: Convert to fraction form
    2,569.06/3,854.04 = 1,108.27/x
  3. Step 3: Cross multiply
    2,569.06x = 3,854.04 × 1,108.27
  4. Step 4: Simplify right side
    2,569.06x = 4,271,316.91
  5. Step 5: Solve for x
    x = 4,271,316.91/2,569.06
  6. Step 6: Final answer
    x = 1,662.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.