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Finding the Fourth Proportional to 2,102.19, 3,153.33 and 869.27

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Solution

The fourth proportional to 2,102.19, 3,153.33 and 869.27 is: 1,303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.19 : 3,153.33 = 869.27 : x
  2. Step 2: Convert to fraction form
    2,102.19/3,153.33 = 869.27/x
  3. Step 3: Cross multiply
    2,102.19x = 3,153.33 × 869.27
  4. Step 4: Simplify right side
    2,102.19x = 2,741,079.40
  5. Step 5: Solve for x
    x = 2,741,079.40/2,102.19
  6. Step 6: Final answer
    x = 1,303.92

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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.