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Finding the Fourth Proportional to 2,665.34, 3,677.00 and 1,602.49

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Solution

The fourth proportional to 2,665.34, 3,677.00 and 1,602.49 is: 2,210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.34 : 3,677.00 = 1,602.49 : x
  2. Step 2: Convert to fraction form
    2,665.34/3,677.00 = 1,602.49/x
  3. Step 3: Cross multiply
    2,665.34x = 3,677.00 × 1,602.49
  4. Step 4: Simplify right side
    2,665.34x = 5,892,353.08
  5. Step 5: Solve for x
    x = 5,892,353.08/2,665.34
  6. Step 6: Final answer
    x = 2,210.73

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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.