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Finding the Fourth Proportional to 2,402.87, 3,316.34 and 2,009.75

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Solution

The fourth proportional to 2,402.87, 3,316.34 and 2,009.75 is: 2,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.87 : 3,316.34 = 2,009.75 : x
  2. Step 2: Convert to fraction form
    2,402.87/3,316.34 = 2,009.75/x
  3. Step 3: Cross multiply
    2,402.87x = 3,316.34 × 2,009.75
  4. Step 4: Simplify right side
    2,402.87x = 6,665,002.76
  5. Step 5: Solve for x
    x = 6,665,002.76/2,402.87
  6. Step 6: Final answer
    x = 2,773.77

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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.