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Finding the Fourth Proportional to 1,849.56, 2,774.33 and 533.35

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Solution

The fourth proportional to 1,849.56, 2,774.33 and 533.35 is: 800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.56 : 2,774.33 = 533.35 : x
  2. Step 2: Convert to fraction form
    1,849.56/2,774.33 = 533.35/x
  3. Step 3: Cross multiply
    1,849.56x = 2,774.33 × 533.35
  4. Step 4: Simplify right side
    1,849.56x = 1,479,688.91
  5. Step 5: Solve for x
    x = 1,479,688.91/1,849.56
  6. Step 6: Final answer
    x = 800.02

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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.