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Finding the Fourth Proportional to 2,193.02, 3,289.04 and 632.68

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Solution

The fourth proportional to 2,193.02, 3,289.04 and 632.68 is: 948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.02 : 3,289.04 = 632.68 : x
  2. Step 2: Convert to fraction form
    2,193.02/3,289.04 = 632.68/x
  3. Step 3: Cross multiply
    2,193.02x = 3,289.04 × 632.68
  4. Step 4: Simplify right side
    2,193.02x = 2,080,903.19
  5. Step 5: Solve for x
    x = 2,080,903.19/2,193.02
  6. Step 6: Final answer
    x = 948.87

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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.