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Finding the Fourth Proportional to 2,924.39, 4,036.17 and 1,729.32

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Solution

The fourth proportional to 2,924.39, 4,036.17 and 1,729.32 is: 2,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.39 : 4,036.17 = 1,729.32 : x
  2. Step 2: Convert to fraction form
    2,924.39/4,036.17 = 1,729.32/x
  3. Step 3: Cross multiply
    2,924.39x = 4,036.17 × 1,729.32
  4. Step 4: Simplify right side
    2,924.39x = 6,979,829.50
  5. Step 5: Solve for x
    x = 6,979,829.50/2,924.39
  6. Step 6: Final answer
    x = 2,386.77

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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.