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Finding the Fourth Proportional to 1,665.13, 2,281.22 and 1,602.82

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Solution

The fourth proportional to 1,665.13, 2,281.22 and 1,602.82 is: 2,195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.13 : 2,281.22 = 1,602.82 : x
  2. Step 2: Convert to fraction form
    1,665.13/2,281.22 = 1,602.82/x
  3. Step 3: Cross multiply
    1,665.13x = 2,281.22 × 1,602.82
  4. Step 4: Simplify right side
    1,665.13x = 3,656,385.04
  5. Step 5: Solve for x
    x = 3,656,385.04/1,665.13
  6. Step 6: Final answer
    x = 2,195.86

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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.