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Finding the Fourth Proportional to 2,116.80, 2,921.04 and 1,232.64

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Solution

The fourth proportional to 2,116.80, 2,921.04 and 1,232.64 is: 1,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.80 : 2,921.04 = 1,232.64 : x
  2. Step 2: Convert to fraction form
    2,116.80/2,921.04 = 1,232.64/x
  3. Step 3: Cross multiply
    2,116.80x = 2,921.04 × 1,232.64
  4. Step 4: Simplify right side
    2,116.80x = 3,600,590.75
  5. Step 5: Solve for x
    x = 3,600,590.75/2,116.80
  6. Step 6: Final answer
    x = 1,700.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.