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Finding the Fourth Proportional to 2,941.65, 4,409.73 and 992.49

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Solution

The fourth proportional to 2,941.65, 4,409.73 and 992.49 is: 1,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.65 : 4,409.73 = 992.49 : x
  2. Step 2: Convert to fraction form
    2,941.65/4,409.73 = 992.49/x
  3. Step 3: Cross multiply
    2,941.65x = 4,409.73 × 992.49
  4. Step 4: Simplify right side
    2,941.65x = 4,376,612.93
  5. Step 5: Solve for x
    x = 4,376,612.93/2,941.65
  6. Step 6: Final answer
    x = 1,487.81

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Why These Related Problems?

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