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Finding the Fourth Proportional to 2,111.94, 3,166.56 and 880.20

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Solution

The fourth proportional to 2,111.94, 3,166.56 and 880.20 is: 1,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.94 : 3,166.56 = 880.20 : x
  2. Step 2: Convert to fraction form
    2,111.94/3,166.56 = 880.20/x
  3. Step 3: Cross multiply
    2,111.94x = 3,166.56 × 880.20
  4. Step 4: Simplify right side
    2,111.94x = 2,787,206.11
  5. Step 5: Solve for x
    x = 2,787,206.11/2,111.94
  6. Step 6: Final answer
    x = 1,319.74

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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.