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Finding the Fourth Proportional to 1,960.78, 2,941.15 and 499.93

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Solution

The fourth proportional to 1,960.78, 2,941.15 and 499.93 is: 749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.78 : 2,941.15 = 499.93 : x
  2. Step 2: Convert to fraction form
    1,960.78/2,941.15 = 499.93/x
  3. Step 3: Cross multiply
    1,960.78x = 2,941.15 × 499.93
  4. Step 4: Simplify right side
    1,960.78x = 1,470,369.12
  5. Step 5: Solve for x
    x = 1,470,369.12/1,960.78
  6. Step 6: Final answer
    x = 749.89

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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.