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Finding the Fourth Proportional to 3,164.40, 4,746.60 and 1,520.56

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Solution

The fourth proportional to 3,164.40, 4,746.60 and 1,520.56 is: 2,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.40 : 4,746.60 = 1,520.56 : x
  2. Step 2: Convert to fraction form
    3,164.40/4,746.60 = 1,520.56/x
  3. Step 3: Cross multiply
    3,164.40x = 4,746.60 × 1,520.56
  4. Step 4: Simplify right side
    3,164.40x = 7,217,490.10
  5. Step 5: Solve for x
    x = 7,217,490.10/3,164.40
  6. Step 6: Final answer
    x = 2,280.84

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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.