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Finding the Fourth Proportional to 3,133.08, 4,699.62 and 941.85

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Solution

The fourth proportional to 3,133.08, 4,699.62 and 941.85 is: 1,412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.08 : 4,699.62 = 941.85 : x
  2. Step 2: Convert to fraction form
    3,133.08/4,699.62 = 941.85/x
  3. Step 3: Cross multiply
    3,133.08x = 4,699.62 × 941.85
  4. Step 4: Simplify right side
    3,133.08x = 4,426,337.10
  5. Step 5: Solve for x
    x = 4,426,337.10/3,133.08
  6. Step 6: Final answer
    x = 1,412.78

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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.