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Finding the Fourth Proportional to 3,124.70, 4,687.67 and 933.38

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Solution

The fourth proportional to 3,124.70, 4,687.67 and 933.38 is: 1,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.70 : 4,687.67 = 933.38 : x
  2. Step 2: Convert to fraction form
    3,124.70/4,687.67 = 933.38/x
  3. Step 3: Cross multiply
    3,124.70x = 4,687.67 × 933.38
  4. Step 4: Simplify right side
    3,124.70x = 4,375,372.76
  5. Step 5: Solve for x
    x = 4,375,372.76/3,124.70
  6. Step 6: Final answer
    x = 1,400.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.