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Finding the Fourth Proportional to 1,525.70, 2,286.30 and 1,202.78

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Solution

The fourth proportional to 1,525.70, 2,286.30 and 1,202.78 is: 1,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.70 : 2,286.30 = 1,202.78 : x
  2. Step 2: Convert to fraction form
    1,525.70/2,286.30 = 1,202.78/x
  3. Step 3: Cross multiply
    1,525.70x = 2,286.30 × 1,202.78
  4. Step 4: Simplify right side
    1,525.70x = 2,749,915.91
  5. Step 5: Solve for x
    x = 2,749,915.91/1,525.70
  6. Step 6: Final answer
    x = 1,802.40

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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.