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Finding the Fourth Proportional to 3,166.35, 4,748.40 and 944.52

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Solution

The fourth proportional to 3,166.35, 4,748.40 and 944.52 is: 1,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.35 : 4,748.40 = 944.52 : x
  2. Step 2: Convert to fraction form
    3,166.35/4,748.40 = 944.52/x
  3. Step 3: Cross multiply
    3,166.35x = 4,748.40 × 944.52
  4. Step 4: Simplify right side
    3,166.35x = 4,484,958.77
  5. Step 5: Solve for x
    x = 4,484,958.77/3,166.35
  6. Step 6: Final answer
    x = 1,416.44

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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.