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Finding the Fourth Proportional to 2,009.84, 3,014.92 and 549

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Solution

The fourth proportional to 2,009.84, 3,014.92 and 549 is: 823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.84 : 3,014.92 = 549 : x
  2. Step 2: Convert to fraction form
    2,009.84/3,014.92 = 549/x
  3. Step 3: Cross multiply
    2,009.84x = 3,014.92 × 549
  4. Step 4: Simplify right side
    2,009.84x = 1,655,191.08
  5. Step 5: Solve for x
    x = 1,655,191.08/2,009.84
  6. Step 6: Final answer
    x = 823.54

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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.