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Finding the Fourth Proportional to 2,277.32, 3,416.10 and 738.36

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Solution

The fourth proportional to 2,277.32, 3,416.10 and 738.36 is: 1,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.32 : 3,416.10 = 738.36 : x
  2. Step 2: Convert to fraction form
    2,277.32/3,416.10 = 738.36/x
  3. Step 3: Cross multiply
    2,277.32x = 3,416.10 × 738.36
  4. Step 4: Simplify right side
    2,277.32x = 2,522,311.60
  5. Step 5: Solve for x
    x = 2,522,311.60/2,277.32
  6. Step 6: Final answer
    x = 1,107.58

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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.