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Finding the Fourth Proportional to 2,822.40, 4,233.96 and 874.35

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Solution

The fourth proportional to 2,822.40, 4,233.96 and 874.35 is: 1,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.40 : 4,233.96 = 874.35 : x
  2. Step 2: Convert to fraction form
    2,822.40/4,233.96 = 874.35/x
  3. Step 3: Cross multiply
    2,822.40x = 4,233.96 × 874.35
  4. Step 4: Simplify right side
    2,822.40x = 3,701,962.93
  5. Step 5: Solve for x
    x = 3,701,962.93/2,822.40
  6. Step 6: Final answer
    x = 1,311.64

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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.