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Finding the Fourth Proportional to 2,019.20, 3,028.80 and 925.70

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Solution

The fourth proportional to 2,019.20, 3,028.80 and 925.70 is: 1,388.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.20 : 3,028.80 = 925.70 : x
  2. Step 2: Convert to fraction form
    2,019.20/3,028.80 = 925.70/x
  3. Step 3: Cross multiply
    2,019.20x = 3,028.80 × 925.70
  4. Step 4: Simplify right side
    2,019.20x = 2,803,760.16
  5. Step 5: Solve for x
    x = 2,803,760.16/2,019.20
  6. Step 6: Final answer
    x = 1,388.55

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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.