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Finding the Fourth Proportional to 2,103.77, 3,155.31 and 870.72

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Solution

The fourth proportional to 2,103.77, 3,155.31 and 870.72 is: 1,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.77 : 3,155.31 = 870.72 : x
  2. Step 2: Convert to fraction form
    2,103.77/3,155.31 = 870.72/x
  3. Step 3: Cross multiply
    2,103.77x = 3,155.31 × 870.72
  4. Step 4: Simplify right side
    2,103.77x = 2,747,391.52
  5. Step 5: Solve for x
    x = 2,747,391.52/2,103.77
  6. Step 6: Final answer
    x = 1,305.94

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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.