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Finding the Fourth Proportional to 2,116.64, 2,921.74 and 1,722.98

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Solution

The fourth proportional to 2,116.64, 2,921.74 and 1,722.98 is: 2,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.64 : 2,921.74 = 1,722.98 : x
  2. Step 2: Convert to fraction form
    2,116.64/2,921.74 = 1,722.98/x
  3. Step 3: Cross multiply
    2,116.64x = 2,921.74 × 1,722.98
  4. Step 4: Simplify right side
    2,116.64x = 5,034,099.59
  5. Step 5: Solve for x
    x = 5,034,099.59/2,116.64
  6. Step 6: Final answer
    x = 2,378.34

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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.