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Finding the Fourth Proportional to 2,298.71, 3,444.94 and 1,200.80

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Solution

The fourth proportional to 2,298.71, 3,444.94 and 1,200.80 is: 1,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.71 : 3,444.94 = 1,200.80 : x
  2. Step 2: Convert to fraction form
    2,298.71/3,444.94 = 1,200.80/x
  3. Step 3: Cross multiply
    2,298.71x = 3,444.94 × 1,200.80
  4. Step 4: Simplify right side
    2,298.71x = 4,136,694.07
  5. Step 5: Solve for x
    x = 4,136,694.07/2,298.71
  6. Step 6: Final answer
    x = 1,799.57

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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.