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Finding the Fourth Proportional to 2,193.12, 3,289.60 and 549.68

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Solution

The fourth proportional to 2,193.12, 3,289.60 and 549.68 is: 824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.12 : 3,289.60 = 549.68 : x
  2. Step 2: Convert to fraction form
    2,193.12/3,289.60 = 549.68/x
  3. Step 3: Cross multiply
    2,193.12x = 3,289.60 × 549.68
  4. Step 4: Simplify right side
    2,193.12x = 1,808,228.70
  5. Step 5: Solve for x
    x = 1,808,228.70/2,193.12
  6. Step 6: Final answer
    x = 824.50

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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.