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Finding the Fourth Proportional to 1,561.55, 2,338.91 and 1,212.17

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Solution

The fourth proportional to 1,561.55, 2,338.91 and 1,212.17 is: 1,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.55 : 2,338.91 = 1,212.17 : x
  2. Step 2: Convert to fraction form
    1,561.55/2,338.91 = 1,212.17/x
  3. Step 3: Cross multiply
    1,561.55x = 2,338.91 × 1,212.17
  4. Step 4: Simplify right side
    1,561.55x = 2,835,143.32
  5. Step 5: Solve for x
    x = 2,835,143.32/1,561.55
  6. Step 6: Final answer
    x = 1,815.60

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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.