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Finding the Fourth Proportional to 1,286.16, 1,920.32 and 1,054.47

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Solution

The fourth proportional to 1,286.16, 1,920.32 and 1,054.47 is: 1,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.16 : 1,920.32 = 1,054.47 : x
  2. Step 2: Convert to fraction form
    1,286.16/1,920.32 = 1,054.47/x
  3. Step 3: Cross multiply
    1,286.16x = 1,920.32 × 1,054.47
  4. Step 4: Simplify right side
    1,286.16x = 2,024,914.56
  5. Step 5: Solve for x
    x = 2,024,914.56/1,286.16
  6. Step 6: Final answer
    x = 1,574.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.