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Finding the Fourth Proportional to 2,009.58, 3,013.56 and 1,278.16

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Solution

The fourth proportional to 2,009.58, 3,013.56 and 1,278.16 is: 1,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.58 : 3,013.56 = 1,278.16 : x
  2. Step 2: Convert to fraction form
    2,009.58/3,013.56 = 1,278.16/x
  3. Step 3: Cross multiply
    2,009.58x = 3,013.56 × 1,278.16
  4. Step 4: Simplify right side
    2,009.58x = 3,851,811.85
  5. Step 5: Solve for x
    x = 3,851,811.85/2,009.58
  6. Step 6: Final answer
    x = 1,916.72

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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.