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Finding the Fourth Proportional to 3,283.93, 4,927.76 and 1,203.66

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Solution

The fourth proportional to 3,283.93, 4,927.76 and 1,203.66 is: 1,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.93 : 4,927.76 = 1,203.66 : x
  2. Step 2: Convert to fraction form
    3,283.93/4,927.76 = 1,203.66/x
  3. Step 3: Cross multiply
    3,283.93x = 4,927.76 × 1,203.66
  4. Step 4: Simplify right side
    3,283.93x = 5,931,350.61
  5. Step 5: Solve for x
    x = 5,931,350.61/3,283.93
  6. Step 6: Final answer
    x = 1,806.18

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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.