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Finding the Fourth Proportional to 2,811.78, 3,880.29 and 1,569.78

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Solution

The fourth proportional to 2,811.78, 3,880.29 and 1,569.78 is: 2,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.78 : 3,880.29 = 1,569.78 : x
  2. Step 2: Convert to fraction form
    2,811.78/3,880.29 = 1,569.78/x
  3. Step 3: Cross multiply
    2,811.78x = 3,880.29 × 1,569.78
  4. Step 4: Simplify right side
    2,811.78x = 6,091,201.64
  5. Step 5: Solve for x
    x = 6,091,201.64/2,811.78
  6. Step 6: Final answer
    x = 2,166.32

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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.