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Finding the Fourth Proportional to 2,873.84, 4,307.08 and 1,833.44

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Solution

The fourth proportional to 2,873.84, 4,307.08 and 1,833.44 is: 2,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.84 : 4,307.08 = 1,833.44 : x
  2. Step 2: Convert to fraction form
    2,873.84/4,307.08 = 1,833.44/x
  3. Step 3: Cross multiply
    2,873.84x = 4,307.08 × 1,833.44
  4. Step 4: Simplify right side
    2,873.84x = 7,896,772.76
  5. Step 5: Solve for x
    x = 7,896,772.76/2,873.84
  6. Step 6: Final answer
    x = 2,747.81

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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.