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Finding the Fourth Proportional to 2,901.63, 4,003.94 and 1,642.49

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Solution

The fourth proportional to 2,901.63, 4,003.94 and 1,642.49 is: 2,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.63 : 4,003.94 = 1,642.49 : x
  2. Step 2: Convert to fraction form
    2,901.63/4,003.94 = 1,642.49/x
  3. Step 3: Cross multiply
    2,901.63x = 4,003.94 × 1,642.49
  4. Step 4: Simplify right side
    2,901.63x = 6,576,403.18
  5. Step 5: Solve for x
    x = 6,576,403.18/2,901.63
  6. Step 6: Final answer
    x = 2,266.45

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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.