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Finding the Fourth Proportional to 1,685.32, 2,326.04 and 1,022.24

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Solution

The fourth proportional to 1,685.32, 2,326.04 and 1,022.24 is: 1,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.32 : 2,326.04 = 1,022.24 : x
  2. Step 2: Convert to fraction form
    1,685.32/2,326.04 = 1,022.24/x
  3. Step 3: Cross multiply
    1,685.32x = 2,326.04 × 1,022.24
  4. Step 4: Simplify right side
    1,685.32x = 2,377,771.13
  5. Step 5: Solve for x
    x = 2,377,771.13/1,685.32
  6. Step 6: Final answer
    x = 1,410.87

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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.