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Finding the Fourth Proportional to 2,294.42, 3,166.34 and 1,409.72

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Solution

The fourth proportional to 2,294.42, 3,166.34 and 1,409.72 is: 1,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.42 : 3,166.34 = 1,409.72 : x
  2. Step 2: Convert to fraction form
    2,294.42/3,166.34 = 1,409.72/x
  3. Step 3: Cross multiply
    2,294.42x = 3,166.34 × 1,409.72
  4. Step 4: Simplify right side
    2,294.42x = 4,463,652.82
  5. Step 5: Solve for x
    x = 4,463,652.82/2,294.42
  6. Step 6: Final answer
    x = 1,945.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.