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Finding the Fourth Proportional to 1,738.38, 2,602.71 and 1,602.30

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Solution

The fourth proportional to 1,738.38, 2,602.71 and 1,602.30 is: 2,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.38 : 2,602.71 = 1,602.30 : x
  2. Step 2: Convert to fraction form
    1,738.38/2,602.71 = 1,602.30/x
  3. Step 3: Cross multiply
    1,738.38x = 2,602.71 × 1,602.30
  4. Step 4: Simplify right side
    1,738.38x = 4,170,322.23
  5. Step 5: Solve for x
    x = 4,170,322.23/1,738.38
  6. Step 6: Final answer
    x = 2,398.97

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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.