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Finding the Fourth Proportional to 2,674.47, 4,009.53 and 1,115.64

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Solution

The fourth proportional to 2,674.47, 4,009.53 and 1,115.64 is: 1,672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.47 : 4,009.53 = 1,115.64 : x
  2. Step 2: Convert to fraction form
    2,674.47/4,009.53 = 1,115.64/x
  3. Step 3: Cross multiply
    2,674.47x = 4,009.53 × 1,115.64
  4. Step 4: Simplify right side
    2,674.47x = 4,473,192.05
  5. Step 5: Solve for x
    x = 4,473,192.05/2,674.47
  6. Step 6: Final answer
    x = 1,672.55

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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.