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Finding the Fourth Proportional to 1,849.72, 2,775.40 and 875.56

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Solution

The fourth proportional to 1,849.72, 2,775.40 and 875.56 is: 1,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.72 : 2,775.40 = 875.56 : x
  2. Step 2: Convert to fraction form
    1,849.72/2,775.40 = 875.56/x
  3. Step 3: Cross multiply
    1,849.72x = 2,775.40 × 875.56
  4. Step 4: Simplify right side
    1,849.72x = 2,430,029.22
  5. Step 5: Solve for x
    x = 2,430,029.22/1,849.72
  6. Step 6: Final answer
    x = 1,313.73

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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.