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Finding the Fourth Proportional to 2,901.22, 4,003.68 and 1,574.92

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Solution

The fourth proportional to 2,901.22, 4,003.68 and 1,574.92 is: 2,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.22 : 4,003.68 = 1,574.92 : x
  2. Step 2: Convert to fraction form
    2,901.22/4,003.68 = 1,574.92/x
  3. Step 3: Cross multiply
    2,901.22x = 4,003.68 × 1,574.92
  4. Step 4: Simplify right side
    2,901.22x = 6,305,466.50
  5. Step 5: Solve for x
    x = 6,305,466.50/2,901.22
  6. Step 6: Final answer
    x = 2,173.39

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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.