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Finding the Fourth Proportional to 1,503.43, 2,252.98 and 852.79

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Solution

The fourth proportional to 1,503.43, 2,252.98 and 852.79 is: 1,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.43 : 2,252.98 = 852.79 : x
  2. Step 2: Convert to fraction form
    1,503.43/2,252.98 = 852.79/x
  3. Step 3: Cross multiply
    1,503.43x = 2,252.98 × 852.79
  4. Step 4: Simplify right side
    1,503.43x = 1,921,318.81
  5. Step 5: Solve for x
    x = 1,921,318.81/1,503.43
  6. Step 6: Final answer
    x = 1,277.96

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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.