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Finding the Fourth Proportional to 3,163.34, 4,746.03 and 1,520.01

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Solution

The fourth proportional to 3,163.34, 4,746.03 and 1,520.01 is: 2,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.34 : 4,746.03 = 1,520.01 : x
  2. Step 2: Convert to fraction form
    3,163.34/4,746.03 = 1,520.01/x
  3. Step 3: Cross multiply
    3,163.34x = 4,746.03 × 1,520.01
  4. Step 4: Simplify right side
    3,163.34x = 7,214,013.06
  5. Step 5: Solve for x
    x = 7,214,013.06/3,163.34
  6. Step 6: Final answer
    x = 2,280.50

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Why These Related Problems?

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