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Finding the Fourth Proportional to 2,116.97, 2,922.44 and 1,410.00

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Solution

The fourth proportional to 2,116.97, 2,922.44 and 1,410.00 is: 1,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.97 : 2,922.44 = 1,410.00 : x
  2. Step 2: Convert to fraction form
    2,116.97/2,922.44 = 1,410.00/x
  3. Step 3: Cross multiply
    2,116.97x = 2,922.44 × 1,410.00
  4. Step 4: Simplify right side
    2,116.97x = 4,120,622.39
  5. Step 5: Solve for x
    x = 4,120,622.39/2,116.97
  6. Step 6: Final answer
    x = 1,946.47

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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.