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Finding the Fourth Proportional to 1,679.84, 2,318.09 and 933.76

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Solution

The fourth proportional to 1,679.84, 2,318.09 and 933.76 is: 1,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.84 : 2,318.09 = 933.76 : x
  2. Step 2: Convert to fraction form
    1,679.84/2,318.09 = 933.76/x
  3. Step 3: Cross multiply
    1,679.84x = 2,318.09 × 933.76
  4. Step 4: Simplify right side
    1,679.84x = 2,164,529.25
  5. Step 5: Solve for x
    x = 2,164,529.25/1,679.84
  6. Step 6: Final answer
    x = 1,288.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.