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Finding the Fourth Proportional to 2,929, 4,041.91 and 1,749.84

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Solution

The fourth proportional to 2,929, 4,041.91 and 1,749.84 is: 2,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929 : 4,041.91 = 1,749.84 : x
  2. Step 2: Convert to fraction form
    2,929/4,041.91 = 1,749.84/x
  3. Step 3: Cross multiply
    2,929x = 4,041.91 × 1,749.84
  4. Step 4: Simplify right side
    2,929x = 7,072,695.79
  5. Step 5: Solve for x
    x = 7,072,695.79/2,929
  6. Step 6: Final answer
    x = 2,414.71

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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.