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Finding the Fourth Proportional to 1,644.34, 2,269.26 and 972.34

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Solution

The fourth proportional to 1,644.34, 2,269.26 and 972.34 is: 1,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.34 : 2,269.26 = 972.34 : x
  2. Step 2: Convert to fraction form
    1,644.34/2,269.26 = 972.34/x
  3. Step 3: Cross multiply
    1,644.34x = 2,269.26 × 972.34
  4. Step 4: Simplify right side
    1,644.34x = 2,206,492.27
  5. Step 5: Solve for x
    x = 2,206,492.27/1,644.34
  6. Step 6: Final answer
    x = 1,341.87

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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.