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Finding the Fourth Proportional to 1,900.79, 2,852.27 and 1,518.47

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Solution

The fourth proportional to 1,900.79, 2,852.27 and 1,518.47 is: 2,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.79 : 2,852.27 = 1,518.47 : x
  2. Step 2: Convert to fraction form
    1,900.79/2,852.27 = 1,518.47/x
  3. Step 3: Cross multiply
    1,900.79x = 2,852.27 × 1,518.47
  4. Step 4: Simplify right side
    1,900.79x = 4,331,086.43
  5. Step 5: Solve for x
    x = 4,331,086.43/1,900.79
  6. Step 6: Final answer
    x = 2,278.57

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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.