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Finding the Fourth Proportional to 2,277.56, 3,411.74 and 1,043.28

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Solution

The fourth proportional to 2,277.56, 3,411.74 and 1,043.28 is: 1,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.56 : 3,411.74 = 1,043.28 : x
  2. Step 2: Convert to fraction form
    2,277.56/3,411.74 = 1,043.28/x
  3. Step 3: Cross multiply
    2,277.56x = 3,411.74 × 1,043.28
  4. Step 4: Simplify right side
    2,277.56x = 3,559,400.11
  5. Step 5: Solve for x
    x = 3,559,400.11/2,277.56
  6. Step 6: Final answer
    x = 1,562.81

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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.