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Finding the Fourth Proportional to 2,230.47, 3,326.04 and 1,924.29

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Solution

The fourth proportional to 2,230.47, 3,326.04 and 1,924.29 is: 2,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.47 : 3,326.04 = 1,924.29 : x
  2. Step 2: Convert to fraction form
    2,230.47/3,326.04 = 1,924.29/x
  3. Step 3: Cross multiply
    2,230.47x = 3,326.04 × 1,924.29
  4. Step 4: Simplify right side
    2,230.47x = 6,400,265.51
  5. Step 5: Solve for x
    x = 6,400,265.51/2,230.47
  6. Step 6: Final answer
    x = 2,869.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.