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Finding the Fourth Proportional to 2,380.35, 3,571.26 and 1,065.21

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Solution

The fourth proportional to 2,380.35, 3,571.26 and 1,065.21 is: 1,598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.35 : 3,571.26 = 1,065.21 : x
  2. Step 2: Convert to fraction form
    2,380.35/3,571.26 = 1,065.21/x
  3. Step 3: Cross multiply
    2,380.35x = 3,571.26 × 1,065.21
  4. Step 4: Simplify right side
    2,380.35x = 3,804,124.48
  5. Step 5: Solve for x
    x = 3,804,124.48/2,380.35
  6. Step 6: Final answer
    x = 1,598.13

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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.