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Finding the Fourth Proportional to 2,674.52, 4,013.22 and 1,115.60

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Solution

The fourth proportional to 2,674.52, 4,013.22 and 1,115.60 is: 1,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.52 : 4,013.22 = 1,115.60 : x
  2. Step 2: Convert to fraction form
    2,674.52/4,013.22 = 1,115.60/x
  3. Step 3: Cross multiply
    2,674.52x = 4,013.22 × 1,115.60
  4. Step 4: Simplify right side
    2,674.52x = 4,477,148.23
  5. Step 5: Solve for x
    x = 4,477,148.23/2,674.52
  6. Step 6: Final answer
    x = 1,674.00

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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.