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Finding the Fourth Proportional to 1,697.66, 2,342.06 and 1,067.07

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Solution

The fourth proportional to 1,697.66, 2,342.06 and 1,067.07 is: 1,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.66 : 2,342.06 = 1,067.07 : x
  2. Step 2: Convert to fraction form
    1,697.66/2,342.06 = 1,067.07/x
  3. Step 3: Cross multiply
    1,697.66x = 2,342.06 × 1,067.07
  4. Step 4: Simplify right side
    1,697.66x = 2,499,155.42
  5. Step 5: Solve for x
    x = 2,499,155.42/1,697.66
  6. Step 6: Final answer
    x = 1,472.12

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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.