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Finding the Fourth Proportional to 2,774.14, 4,159.99 and 1,041.55

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Solution

The fourth proportional to 2,774.14, 4,159.99 and 1,041.55 is: 1,561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.14 : 4,159.99 = 1,041.55 : x
  2. Step 2: Convert to fraction form
    2,774.14/4,159.99 = 1,041.55/x
  3. Step 3: Cross multiply
    2,774.14x = 4,159.99 × 1,041.55
  4. Step 4: Simplify right side
    2,774.14x = 4,332,837.58
  5. Step 5: Solve for x
    x = 4,332,837.58/2,774.14
  6. Step 6: Final answer
    x = 1,561.87

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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.