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Finding the Fourth Proportional to 2,018.32, 3,028.80 and 922.70

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Solution

The fourth proportional to 2,018.32, 3,028.80 and 922.70 is: 1,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.32 : 3,028.80 = 922.70 : x
  2. Step 2: Convert to fraction form
    2,018.32/3,028.80 = 922.70/x
  3. Step 3: Cross multiply
    2,018.32x = 3,028.80 × 922.70
  4. Step 4: Simplify right side
    2,018.32x = 2,794,673.76
  5. Step 5: Solve for x
    x = 2,794,673.76/2,018.32
  6. Step 6: Final answer
    x = 1,384.65

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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.