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Finding the Fourth Proportional to 1,357.28, 2,034.90 and 869.39

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Solution

The fourth proportional to 1,357.28, 2,034.90 and 869.39 is: 1,303.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.28 : 2,034.90 = 869.39 : x
  2. Step 2: Convert to fraction form
    1,357.28/2,034.90 = 869.39/x
  3. Step 3: Cross multiply
    1,357.28x = 2,034.90 × 869.39
  4. Step 4: Simplify right side
    1,357.28x = 1,769,111.54
  5. Step 5: Solve for x
    x = 1,769,111.54/1,357.28
  6. Step 6: Final answer
    x = 1,303.43

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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.