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Finding the Fourth Proportional to 1,416.70, 2,121.10 and 721.87

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Solution

The fourth proportional to 1,416.70, 2,121.10 and 721.87 is: 1,080.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.70 : 2,121.10 = 721.87 : x
  2. Step 2: Convert to fraction form
    1,416.70/2,121.10 = 721.87/x
  3. Step 3: Cross multiply
    1,416.70x = 2,121.10 × 721.87
  4. Step 4: Simplify right side
    1,416.70x = 1,531,158.46
  5. Step 5: Solve for x
    x = 1,531,158.46/1,416.70
  6. Step 6: Final answer
    x = 1,080.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.