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Finding the Fourth Proportional to 2,009.34, 2,772.90 and 1,125.15

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Solution

The fourth proportional to 2,009.34, 2,772.90 and 1,125.15 is: 1,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.34 : 2,772.90 = 1,125.15 : x
  2. Step 2: Convert to fraction form
    2,009.34/2,772.90 = 1,125.15/x
  3. Step 3: Cross multiply
    2,009.34x = 2,772.90 × 1,125.15
  4. Step 4: Simplify right side
    2,009.34x = 3,119,928.44
  5. Step 5: Solve for x
    x = 3,119,928.44/2,009.34
  6. Step 6: Final answer
    x = 1,552.71

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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.