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Finding the Fourth Proportional to 2,116.75, 2,920.39 and 1,232.36

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Solution

The fourth proportional to 2,116.75, 2,920.39 and 1,232.36 is: 1,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.75 : 2,920.39 = 1,232.36 : x
  2. Step 2: Convert to fraction form
    2,116.75/2,920.39 = 1,232.36/x
  3. Step 3: Cross multiply
    2,116.75x = 2,920.39 × 1,232.36
  4. Step 4: Simplify right side
    2,116.75x = 3,598,968.74
  5. Step 5: Solve for x
    x = 3,598,968.74/2,116.75
  6. Step 6: Final answer
    x = 1,700.24

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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.