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Finding the Fourth Proportional to 2,040.66, 2,815.74 and 1,156.41

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Solution

The fourth proportional to 2,040.66, 2,815.74 and 1,156.41 is: 1,595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.66 : 2,815.74 = 1,156.41 : x
  2. Step 2: Convert to fraction form
    2,040.66/2,815.74 = 1,156.41/x
  3. Step 3: Cross multiply
    2,040.66x = 2,815.74 × 1,156.41
  4. Step 4: Simplify right side
    2,040.66x = 3,256,149.89
  5. Step 5: Solve for x
    x = 3,256,149.89/2,040.66
  6. Step 6: Final answer
    x = 1,595.64

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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.