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Finding the Fourth Proportional to 2,901.52, 4,002.27 and 1,721.75

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Solution

The fourth proportional to 2,901.52, 4,002.27 and 1,721.75 is: 2,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.52 : 4,002.27 = 1,721.75 : x
  2. Step 2: Convert to fraction form
    2,901.52/4,002.27 = 1,721.75/x
  3. Step 3: Cross multiply
    2,901.52x = 4,002.27 × 1,721.75
  4. Step 4: Simplify right side
    2,901.52x = 6,890,908.37
  5. Step 5: Solve for x
    x = 6,890,908.37/2,901.52
  6. Step 6: Final answer
    x = 2,374.93

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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.