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Finding the Fourth Proportional to 3,296.16, 4,941.44 and 1,445.87

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Solution

The fourth proportional to 3,296.16, 4,941.44 and 1,445.87 is: 2,167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.16 : 4,941.44 = 1,445.87 : x
  2. Step 2: Convert to fraction form
    3,296.16/4,941.44 = 1,445.87/x
  3. Step 3: Cross multiply
    3,296.16x = 4,941.44 × 1,445.87
  4. Step 4: Simplify right side
    3,296.16x = 7,144,647.92
  5. Step 5: Solve for x
    x = 7,144,647.92/3,296.16
  6. Step 6: Final answer
    x = 2,167.57

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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.