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Finding the Fourth Proportional to 2,110.56, 2,910 and 1,488.48

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Solution

The fourth proportional to 2,110.56, 2,910 and 1,488.48 is: 2,052.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.56 : 2,910 = 1,488.48 : x
  2. Step 2: Convert to fraction form
    2,110.56/2,910 = 1,488.48/x
  3. Step 3: Cross multiply
    2,110.56x = 2,910 × 1,488.48
  4. Step 4: Simplify right side
    2,110.56x = 4,331,476.80
  5. Step 5: Solve for x
    x = 4,331,476.80/2,110.56
  6. Step 6: Final answer
    x = 2,052.29

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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.