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Finding the Fourth Proportional to 3,150.46, 4,722.63 and 1,506.57

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Solution

The fourth proportional to 3,150.46, 4,722.63 and 1,506.57 is: 2,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.46 : 4,722.63 = 1,506.57 : x
  2. Step 2: Convert to fraction form
    3,150.46/4,722.63 = 1,506.57/x
  3. Step 3: Cross multiply
    3,150.46x = 4,722.63 × 1,506.57
  4. Step 4: Simplify right side
    3,150.46x = 7,114,972.68
  5. Step 5: Solve for x
    x = 7,114,972.68/3,150.46
  6. Step 6: Final answer
    x = 2,258.39

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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.