Home / 1,497.32-2,067.24-966.47

Finding the Fourth Proportional to 1,497.32, 2,067.24 and 966.47

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Solution

The fourth proportional to 1,497.32, 2,067.24 and 966.47 is: 1,334.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.32 : 2,067.24 = 966.47 : x
  2. Step 2: Convert to fraction form
    1,497.32/2,067.24 = 966.47/x
  3. Step 3: Cross multiply
    1,497.32x = 2,067.24 × 966.47
  4. Step 4: Simplify right side
    1,497.32x = 1,997,925.44
  5. Step 5: Solve for x
    x = 1,997,925.44/1,497.32
  6. Step 6: Final answer
    x = 1,334.33

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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.