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Finding the Fourth Proportional to 2,901.62, 4,004.46 and 1,642.82

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Solution

The fourth proportional to 2,901.62, 4,004.46 and 1,642.82 is: 2,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.62 : 4,004.46 = 1,642.82 : x
  2. Step 2: Convert to fraction form
    2,901.62/4,004.46 = 1,642.82/x
  3. Step 3: Cross multiply
    2,901.62x = 4,004.46 × 1,642.82
  4. Step 4: Simplify right side
    2,901.62x = 6,578,606.98
  5. Step 5: Solve for x
    x = 6,578,606.98/2,901.62
  6. Step 6: Final answer
    x = 2,267.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.