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Finding the Fourth Proportional to 2,101.66, 3,153.55 and 869.95

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Solution

The fourth proportional to 2,101.66, 3,153.55 and 869.95 is: 1,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.66 : 3,153.55 = 869.95 : x
  2. Step 2: Convert to fraction form
    2,101.66/3,153.55 = 869.95/x
  3. Step 3: Cross multiply
    2,101.66x = 3,153.55 × 869.95
  4. Step 4: Simplify right side
    2,101.66x = 2,743,428.65
  5. Step 5: Solve for x
    x = 2,743,428.65/2,101.66
  6. Step 6: Final answer
    x = 1,305.36

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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.