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Finding the Fourth Proportional to 2,171.64, 2,993.92 and 1,424.28

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Solution

The fourth proportional to 2,171.64, 2,993.92 and 1,424.28 is: 1,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.64 : 2,993.92 = 1,424.28 : x
  2. Step 2: Convert to fraction form
    2,171.64/2,993.92 = 1,424.28/x
  3. Step 3: Cross multiply
    2,171.64x = 2,993.92 × 1,424.28
  4. Step 4: Simplify right side
    2,171.64x = 4,264,180.38
  5. Step 5: Solve for x
    x = 4,264,180.38/2,171.64
  6. Step 6: Final answer
    x = 1,963.58

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1.5x scale

Why These Related Problems?

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