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Finding the Fourth Proportional to 2,116.33, 3,174.80 and 655.61

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Solution

The fourth proportional to 2,116.33, 3,174.80 and 655.61 is: 983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.33 : 3,174.80 = 655.61 : x
  2. Step 2: Convert to fraction form
    2,116.33/3,174.80 = 655.61/x
  3. Step 3: Cross multiply
    2,116.33x = 3,174.80 × 655.61
  4. Step 4: Simplify right side
    2,116.33x = 2,081,411.48
  5. Step 5: Solve for x
    x = 2,081,411.48/2,116.33
  6. Step 6: Final answer
    x = 983.50

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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.