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Finding the Fourth Proportional to 1,427.13, 2,140.61 and 879.39

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Solution

The fourth proportional to 1,427.13, 2,140.61 and 879.39 is: 1,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.13 : 2,140.61 = 879.39 : x
  2. Step 2: Convert to fraction form
    1,427.13/2,140.61 = 879.39/x
  3. Step 3: Cross multiply
    1,427.13x = 2,140.61 × 879.39
  4. Step 4: Simplify right side
    1,427.13x = 1,882,426.63
  5. Step 5: Solve for x
    x = 1,882,426.63/1,427.13
  6. Step 6: Final answer
    x = 1,319.03

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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.