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Finding the Fourth Proportional to 1,577.78, 2,366.69 and 482.15

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Solution

The fourth proportional to 1,577.78, 2,366.69 and 482.15 is: 723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.78 : 2,366.69 = 482.15 : x
  2. Step 2: Convert to fraction form
    1,577.78/2,366.69 = 482.15/x
  3. Step 3: Cross multiply
    1,577.78x = 2,366.69 × 482.15
  4. Step 4: Simplify right side
    1,577.78x = 1,141,103.09
  5. Step 5: Solve for x
    x = 1,141,103.09/1,577.78
  6. Step 6: Final answer
    x = 723.23

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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.