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Finding the Fourth Proportional to 2,017.32, 3,024.36 and 921.12

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Solution

The fourth proportional to 2,017.32, 3,024.36 and 921.12 is: 1,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.32 : 3,024.36 = 921.12 : x
  2. Step 2: Convert to fraction form
    2,017.32/3,024.36 = 921.12/x
  3. Step 3: Cross multiply
    2,017.32x = 3,024.36 × 921.12
  4. Step 4: Simplify right side
    2,017.32x = 2,785,798.48
  5. Step 5: Solve for x
    x = 2,785,798.48/2,017.32
  6. Step 6: Final answer
    x = 1,380.94

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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.