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Finding the Fourth Proportional to 2,108.90, 2,902.48 and 1,548.48

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Solution

The fourth proportional to 2,108.90, 2,902.48 and 1,548.48 is: 2,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.90 : 2,902.48 = 1,548.48 : x
  2. Step 2: Convert to fraction form
    2,108.90/2,902.48 = 1,548.48/x
  3. Step 3: Cross multiply
    2,108.90x = 2,902.48 × 1,548.48
  4. Step 4: Simplify right side
    2,108.90x = 4,494,439.24
  5. Step 5: Solve for x
    x = 4,494,439.24/2,108.90
  6. Step 6: Final answer
    x = 2,131.17

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1.5x scale

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.