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Finding the Fourth Proportional to 2,322.19, 3,483.32 and 861.35

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Solution

The fourth proportional to 2,322.19, 3,483.32 and 861.35 is: 1,292.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.19 : 3,483.32 = 861.35 : x
  2. Step 2: Convert to fraction form
    2,322.19/3,483.32 = 861.35/x
  3. Step 3: Cross multiply
    2,322.19x = 3,483.32 × 861.35
  4. Step 4: Simplify right side
    2,322.19x = 3,000,335.96
  5. Step 5: Solve for x
    x = 3,000,335.96/2,322.19
  6. Step 6: Final answer
    x = 1,292.03

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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.