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Finding the Fourth Proportional to 1,518.05, 2,277.66 and 593.88

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Solution

The fourth proportional to 1,518.05, 2,277.66 and 593.88 is: 891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.05 : 2,277.66 = 593.88 : x
  2. Step 2: Convert to fraction form
    1,518.05/2,277.66 = 593.88/x
  3. Step 3: Cross multiply
    1,518.05x = 2,277.66 × 593.88
  4. Step 4: Simplify right side
    1,518.05x = 1,352,656.72
  5. Step 5: Solve for x
    x = 1,352,656.72/1,518.05
  6. Step 6: Final answer
    x = 891.05

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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.