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Finding the Fourth Proportional to 1,850.50, 2,777.65 and 1,444.08

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Solution

The fourth proportional to 1,850.50, 2,777.65 and 1,444.08 is: 2,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.50 : 2,777.65 = 1,444.08 : x
  2. Step 2: Convert to fraction form
    1,850.50/2,777.65 = 1,444.08/x
  3. Step 3: Cross multiply
    1,850.50x = 2,777.65 × 1,444.08
  4. Step 4: Simplify right side
    1,850.50x = 4,011,148.81
  5. Step 5: Solve for x
    x = 4,011,148.81/1,850.50
  6. Step 6: Final answer
    x = 2,167.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.