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Finding the Fourth Proportional to 1,957.19, 2,933.73 and 723.81

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Solution

The fourth proportional to 1,957.19, 2,933.73 and 723.81 is: 1,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.19 : 2,933.73 = 723.81 : x
  2. Step 2: Convert to fraction form
    1,957.19/2,933.73 = 723.81/x
  3. Step 3: Cross multiply
    1,957.19x = 2,933.73 × 723.81
  4. Step 4: Simplify right side
    1,957.19x = 2,123,463.11
  5. Step 5: Solve for x
    x = 2,123,463.11/1,957.19
  6. Step 6: Final answer
    x = 1,084.96

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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.