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Finding the Fourth Proportional to 1,853.88, 2,770.58 and 1,486.95

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Solution

The fourth proportional to 1,853.88, 2,770.58 and 1,486.95 is: 2,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.88 : 2,770.58 = 1,486.95 : x
  2. Step 2: Convert to fraction form
    1,853.88/2,770.58 = 1,486.95/x
  3. Step 3: Cross multiply
    1,853.88x = 2,770.58 × 1,486.95
  4. Step 4: Simplify right side
    1,853.88x = 4,119,713.93
  5. Step 5: Solve for x
    x = 4,119,713.93/1,853.88
  6. Step 6: Final answer
    x = 2,222.21

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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.