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Finding the Fourth Proportional to 2,286.74, 3,431.52 and 1,054.32

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Solution

The fourth proportional to 2,286.74, 3,431.52 and 1,054.32 is: 1,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.74 : 3,431.52 = 1,054.32 : x
  2. Step 2: Convert to fraction form
    2,286.74/3,431.52 = 1,054.32/x
  3. Step 3: Cross multiply
    2,286.74x = 3,431.52 × 1,054.32
  4. Step 4: Simplify right side
    2,286.74x = 3,617,920.17
  5. Step 5: Solve for x
    x = 3,617,920.17/2,286.74
  6. Step 6: Final answer
    x = 1,582.13

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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.