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Finding the Fourth Proportional to 2,097, 3,143.28 and 709

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Solution

The fourth proportional to 2,097, 3,143.28 and 709 is: 1,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097 : 3,143.28 = 709 : x
  2. Step 2: Convert to fraction form
    2,097/3,143.28 = 709/x
  3. Step 3: Cross multiply
    2,097x = 3,143.28 × 709
  4. Step 4: Simplify right side
    2,097x = 2,228,585.52
  5. Step 5: Solve for x
    x = 2,228,585.52/2,097
  6. Step 6: Final answer
    x = 1,062.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.