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Finding the Fourth Proportional to 2,906.94, 4,010 and 2,510.24

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Solution

The fourth proportional to 2,906.94, 4,010 and 2,510.24 is: 3,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.94 : 4,010 = 2,510.24 : x
  2. Step 2: Convert to fraction form
    2,906.94/4,010 = 2,510.24/x
  3. Step 3: Cross multiply
    2,906.94x = 4,010 × 2,510.24
  4. Step 4: Simplify right side
    2,906.94x = 10,066,062.40
  5. Step 5: Solve for x
    x = 10,066,062.40/2,906.94
  6. Step 6: Final answer
    x = 3,462.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.