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Finding the Fourth Proportional to 2,548.98, 3,510.36 and 1,988.46

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Solution

The fourth proportional to 2,548.98, 3,510.36 and 1,988.46 is: 2,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.98 : 3,510.36 = 1,988.46 : x
  2. Step 2: Convert to fraction form
    2,548.98/3,510.36 = 1,988.46/x
  3. Step 3: Cross multiply
    2,548.98x = 3,510.36 × 1,988.46
  4. Step 4: Simplify right side
    2,548.98x = 6,980,210.45
  5. Step 5: Solve for x
    x = 6,980,210.45/2,548.98
  6. Step 6: Final answer
    x = 2,738.43

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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.