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Finding the Fourth Proportional to 4,468.46, 6,703.64 and 1,348.70

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Solution

The fourth proportional to 4,468.46, 6,703.64 and 1,348.70 is: 2,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.46 : 6,703.64 = 1,348.70 : x
  2. Step 2: Convert to fraction form
    4,468.46/6,703.64 = 1,348.70/x
  3. Step 3: Cross multiply
    4,468.46x = 6,703.64 × 1,348.70
  4. Step 4: Simplify right side
    4,468.46x = 9,041,199.27
  5. Step 5: Solve for x
    x = 9,041,199.27/4,468.46
  6. Step 6: Final answer
    x = 2,023.34

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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.