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Finding the Fourth Proportional to 4,650.45, 6,970.77 and 1,529.64

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Solution

The fourth proportional to 4,650.45, 6,970.77 and 1,529.64 is: 2,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.45 : 6,970.77 = 1,529.64 : x
  2. Step 2: Convert to fraction form
    4,650.45/6,970.77 = 1,529.64/x
  3. Step 3: Cross multiply
    4,650.45x = 6,970.77 × 1,529.64
  4. Step 4: Simplify right side
    4,650.45x = 10,662,768.62
  5. Step 5: Solve for x
    x = 10,662,768.62/4,650.45
  6. Step 6: Final answer
    x = 2,292.85

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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.