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Finding the Fourth Proportional to 1,642.19, 2,248.09 and 1,630.47

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Solution

The fourth proportional to 1,642.19, 2,248.09 and 1,630.47 is: 2,232.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.19 : 2,248.09 = 1,630.47 : x
  2. Step 2: Convert to fraction form
    1,642.19/2,248.09 = 1,630.47/x
  3. Step 3: Cross multiply
    1,642.19x = 2,248.09 × 1,630.47
  4. Step 4: Simplify right side
    1,642.19x = 3,665,439.23
  5. Step 5: Solve for x
    x = 3,665,439.23/1,642.19
  6. Step 6: Final answer
    x = 2,232.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.