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Finding the Fourth Proportional to 1,691.48, 2,336.61 and 1,602.81

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Solution

The fourth proportional to 1,691.48, 2,336.61 and 1,602.81 is: 2,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.48 : 2,336.61 = 1,602.81 : x
  2. Step 2: Convert to fraction form
    1,691.48/2,336.61 = 1,602.81/x
  3. Step 3: Cross multiply
    1,691.48x = 2,336.61 × 1,602.81
  4. Step 4: Simplify right side
    1,691.48x = 3,745,147.69
  5. Step 5: Solve for x
    x = 3,745,147.69/1,691.48
  6. Step 6: Final answer
    x = 2,214.12

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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.