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Finding the Fourth Proportional to 2,929.74, 4,042.71 and 1,750.38

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Solution

The fourth proportional to 2,929.74, 4,042.71 and 1,750.38 is: 2,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.74 : 4,042.71 = 1,750.38 : x
  2. Step 2: Convert to fraction form
    2,929.74/4,042.71 = 1,750.38/x
  3. Step 3: Cross multiply
    2,929.74x = 4,042.71 × 1,750.38
  4. Step 4: Simplify right side
    2,929.74x = 7,076,278.73
  5. Step 5: Solve for x
    x = 7,076,278.73/2,929.74
  6. Step 6: Final answer
    x = 2,415.33

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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.