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Finding the Fourth Proportional to 1,642.27, 2,465.22 and 1,636.18

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Solution

The fourth proportional to 1,642.27, 2,465.22 and 1,636.18 is: 2,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.27 : 2,465.22 = 1,636.18 : x
  2. Step 2: Convert to fraction form
    1,642.27/2,465.22 = 1,636.18/x
  3. Step 3: Cross multiply
    1,642.27x = 2,465.22 × 1,636.18
  4. Step 4: Simplify right side
    1,642.27x = 4,033,543.66
  5. Step 5: Solve for x
    x = 4,033,543.66/1,642.27
  6. Step 6: Final answer
    x = 2,456.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.