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Finding the Fourth Proportional to 2,321.84, 3,483.12 and 861.14

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Solution

The fourth proportional to 2,321.84, 3,483.12 and 861.14 is: 1,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.84 : 3,483.12 = 861.14 : x
  2. Step 2: Convert to fraction form
    2,321.84/3,483.12 = 861.14/x
  3. Step 3: Cross multiply
    2,321.84x = 3,483.12 × 861.14
  4. Step 4: Simplify right side
    2,321.84x = 2,999,453.96
  5. Step 5: Solve for x
    x = 2,999,453.96/2,321.84
  6. Step 6: Final answer
    x = 1,291.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.