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Finding the Fourth Proportional to 2,017.31, 3,024.84 and 921.07

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Solution

The fourth proportional to 2,017.31, 3,024.84 and 921.07 is: 1,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.31 : 3,024.84 = 921.07 : x
  2. Step 2: Convert to fraction form
    2,017.31/3,024.84 = 921.07/x
  3. Step 3: Cross multiply
    2,017.31x = 3,024.84 × 921.07
  4. Step 4: Simplify right side
    2,017.31x = 2,786,096.61
  5. Step 5: Solve for x
    x = 2,786,096.61/2,017.31
  6. Step 6: Final answer
    x = 1,381.10

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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.