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Finding the Fourth Proportional to 3,197.30, 4,411.95 and 2,358.46

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Solution

The fourth proportional to 3,197.30, 4,411.95 and 2,358.46 is: 3,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.30 : 4,411.95 = 2,358.46 : x
  2. Step 2: Convert to fraction form
    3,197.30/4,411.95 = 2,358.46/x
  3. Step 3: Cross multiply
    3,197.30x = 4,411.95 × 2,358.46
  4. Step 4: Simplify right side
    3,197.30x = 10,405,407.60
  5. Step 5: Solve for x
    x = 10,405,407.60/3,197.30
  6. Step 6: Final answer
    x = 3,254.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.