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Finding the Fourth Proportional to 1,849.47, 2,774.81 and 875.44

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Solution

The fourth proportional to 1,849.47, 2,774.81 and 875.44 is: 1,313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.47 : 2,774.81 = 875.44 : x
  2. Step 2: Convert to fraction form
    1,849.47/2,774.81 = 875.44/x
  3. Step 3: Cross multiply
    1,849.47x = 2,774.81 × 875.44
  4. Step 4: Simplify right side
    1,849.47x = 2,429,179.67
  5. Step 5: Solve for x
    x = 2,429,179.67/1,849.47
  6. Step 6: Final answer
    x = 1,313.45

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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.