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Finding the Fourth Proportional to 2,101.41, 3,152.52 and 869.13

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Solution

The fourth proportional to 2,101.41, 3,152.52 and 869.13 is: 1,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.41 : 3,152.52 = 869.13 : x
  2. Step 2: Convert to fraction form
    2,101.41/3,152.52 = 869.13/x
  3. Step 3: Cross multiply
    2,101.41x = 3,152.52 × 869.13
  4. Step 4: Simplify right side
    2,101.41x = 2,739,949.71
  5. Step 5: Solve for x
    x = 2,739,949.71/2,101.41
  6. Step 6: Final answer
    x = 1,303.86

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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.