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Finding the Fourth Proportional to 2,193.94, 3,289.20 and 1,097.74

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Solution

The fourth proportional to 2,193.94, 3,289.20 and 1,097.74 is: 1,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.94 : 3,289.20 = 1,097.74 : x
  2. Step 2: Convert to fraction form
    2,193.94/3,289.20 = 1,097.74/x
  3. Step 3: Cross multiply
    2,193.94x = 3,289.20 × 1,097.74
  4. Step 4: Simplify right side
    2,193.94x = 3,610,686.41
  5. Step 5: Solve for x
    x = 3,610,686.41/2,193.94
  6. Step 6: Final answer
    x = 1,645.75

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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.