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Finding the Fourth Proportional to 1,943.73, 2,916.02 and 711.11

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Solution

The fourth proportional to 1,943.73, 2,916.02 and 711.11 is: 1,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.73 : 2,916.02 = 711.11 : x
  2. Step 2: Convert to fraction form
    1,943.73/2,916.02 = 711.11/x
  3. Step 3: Cross multiply
    1,943.73x = 2,916.02 × 711.11
  4. Step 4: Simplify right side
    1,943.73x = 2,073,596.40
  5. Step 5: Solve for x
    x = 2,073,596.40/1,943.73
  6. Step 6: Final answer
    x = 1,066.82

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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.