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Finding the Fourth Proportional to 2,970.32, 4,452.12 and 2,237.60

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Solution

The fourth proportional to 2,970.32, 4,452.12 and 2,237.60 is: 3,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.32 : 4,452.12 = 2,237.60 : x
  2. Step 2: Convert to fraction form
    2,970.32/4,452.12 = 2,237.60/x
  3. Step 3: Cross multiply
    2,970.32x = 4,452.12 × 2,237.60
  4. Step 4: Simplify right side
    2,970.32x = 9,962,063.71
  5. Step 5: Solve for x
    x = 9,962,063.71/2,970.32
  6. Step 6: Final answer
    x = 3,353.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.