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Finding the Fourth Proportional to 2,197.76, 3,297.04 and 1,043.50

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Solution

The fourth proportional to 2,197.76, 3,297.04 and 1,043.50 is: 1,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.76 : 3,297.04 = 1,043.50 : x
  2. Step 2: Convert to fraction form
    2,197.76/3,297.04 = 1,043.50/x
  3. Step 3: Cross multiply
    2,197.76x = 3,297.04 × 1,043.50
  4. Step 4: Simplify right side
    2,197.76x = 3,440,461.24
  5. Step 5: Solve for x
    x = 3,440,461.24/2,197.76
  6. Step 6: Final answer
    x = 1,565.44

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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.