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Finding the Fourth Proportional to 2,278.48, 3,412.40 and 1,754.32

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Solution

The fourth proportional to 2,278.48, 3,412.40 and 1,754.32 is: 2,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.48 : 3,412.40 = 1,754.32 : x
  2. Step 2: Convert to fraction form
    2,278.48/3,412.40 = 1,754.32/x
  3. Step 3: Cross multiply
    2,278.48x = 3,412.40 × 1,754.32
  4. Step 4: Simplify right side
    2,278.48x = 5,986,441.57
  5. Step 5: Solve for x
    x = 5,986,441.57/2,278.48
  6. Step 6: Final answer
    x = 2,627.38

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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.