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Finding the Fourth Proportional to 2,510.61, 3,446.09 and 2,224.59

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Solution

The fourth proportional to 2,510.61, 3,446.09 and 2,224.59 is: 3,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.61 : 3,446.09 = 2,224.59 : x
  2. Step 2: Convert to fraction form
    2,510.61/3,446.09 = 2,224.59/x
  3. Step 3: Cross multiply
    2,510.61x = 3,446.09 × 2,224.59
  4. Step 4: Simplify right side
    2,510.61x = 7,666,126.23
  5. Step 5: Solve for x
    x = 7,666,126.23/2,510.61
  6. Step 6: Final answer
    x = 3,053.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.