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Finding the Fourth Proportional to 2,822.03, 4,232.88 and 874.17

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Solution

The fourth proportional to 2,822.03, 4,232.88 and 874.17 is: 1,311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.03 : 4,232.88 = 874.17 : x
  2. Step 2: Convert to fraction form
    2,822.03/4,232.88 = 874.17/x
  3. Step 3: Cross multiply
    2,822.03x = 4,232.88 × 874.17
  4. Step 4: Simplify right side
    2,822.03x = 3,700,256.71
  5. Step 5: Solve for x
    x = 3,700,256.71/2,822.03
  6. Step 6: Final answer
    x = 1,311.21

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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.