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Finding the Fourth Proportional to 2,132.69, 2,944.02 and 1,434.47

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Solution

The fourth proportional to 2,132.69, 2,944.02 and 1,434.47 is: 1,980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.69 : 2,944.02 = 1,434.47 : x
  2. Step 2: Convert to fraction form
    2,132.69/2,944.02 = 1,434.47/x
  3. Step 3: Cross multiply
    2,132.69x = 2,944.02 × 1,434.47
  4. Step 4: Simplify right side
    2,132.69x = 4,223,093.65
  5. Step 5: Solve for x
    x = 4,223,093.65/2,132.69
  6. Step 6: Final answer
    x = 1,980.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.