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Finding the Fourth Proportional to 2,064.88, 3,098.32 and 910.48

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Solution

The fourth proportional to 2,064.88, 3,098.32 and 910.48 is: 1,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.88 : 3,098.32 = 910.48 : x
  2. Step 2: Convert to fraction form
    2,064.88/3,098.32 = 910.48/x
  3. Step 3: Cross multiply
    2,064.88x = 3,098.32 × 910.48
  4. Step 4: Simplify right side
    2,064.88x = 2,820,958.39
  5. Step 5: Solve for x
    x = 2,820,958.39/2,064.88
  6. Step 6: Final answer
    x = 1,366.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.