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Finding the Fourth Proportional to 1,848.35, 2,772.46 and 549.79

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Solution

The fourth proportional to 1,848.35, 2,772.46 and 549.79 is: 824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.35 : 2,772.46 = 549.79 : x
  2. Step 2: Convert to fraction form
    1,848.35/2,772.46 = 549.79/x
  3. Step 3: Cross multiply
    1,848.35x = 2,772.46 × 549.79
  4. Step 4: Simplify right side
    1,848.35x = 1,524,264.54
  5. Step 5: Solve for x
    x = 1,524,264.54/1,848.35
  6. Step 6: Final answer
    x = 824.66

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