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Finding the Fourth Proportional to 1,960.99, 2,941.67 and 500.15

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Solution

The fourth proportional to 1,960.99, 2,941.67 and 500.15 is: 750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.99 : 2,941.67 = 500.15 : x
  2. Step 2: Convert to fraction form
    1,960.99/2,941.67 = 500.15/x
  3. Step 3: Cross multiply
    1,960.99x = 2,941.67 × 500.15
  4. Step 4: Simplify right side
    1,960.99x = 1,471,284.86
  5. Step 5: Solve for x
    x = 1,471,284.86/1,960.99
  6. Step 6: Final answer
    x = 750.28

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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.