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Finding the Fourth Proportional to 1,885.95, 2,816.22 and 1,539.96

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Solution

The fourth proportional to 1,885.95, 2,816.22 and 1,539.96 is: 2,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.95 : 2,816.22 = 1,539.96 : x
  2. Step 2: Convert to fraction form
    1,885.95/2,816.22 = 1,539.96/x
  3. Step 3: Cross multiply
    1,885.95x = 2,816.22 × 1,539.96
  4. Step 4: Simplify right side
    1,885.95x = 4,336,860.87
  5. Step 5: Solve for x
    x = 4,336,860.87/1,885.95
  6. Step 6: Final answer
    x = 2,299.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.