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Finding the Fourth Proportional to 2,116.57, 2,920.83 and 1,185.07

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Solution

The fourth proportional to 2,116.57, 2,920.83 and 1,185.07 is: 1,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.57 : 2,920.83 = 1,185.07 : x
  2. Step 2: Convert to fraction form
    2,116.57/2,920.83 = 1,185.07/x
  3. Step 3: Cross multiply
    2,116.57x = 2,920.83 × 1,185.07
  4. Step 4: Simplify right side
    2,116.57x = 3,461,388.01
  5. Step 5: Solve for x
    x = 3,461,388.01/2,116.57
  6. Step 6: Final answer
    x = 1,635.38

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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.