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Finding the Fourth Proportional to 2,148.84, 3,220.02 and 849.96

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Solution

The fourth proportional to 2,148.84, 3,220.02 and 849.96 is: 1,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.84 : 3,220.02 = 849.96 : x
  2. Step 2: Convert to fraction form
    2,148.84/3,220.02 = 849.96/x
  3. Step 3: Cross multiply
    2,148.84x = 3,220.02 × 849.96
  4. Step 4: Simplify right side
    2,148.84x = 2,736,888.20
  5. Step 5: Solve for x
    x = 2,736,888.20/2,148.84
  6. Step 6: Final answer
    x = 1,273.66

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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.