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Finding the Fourth Proportional to 2,292.80, 3,438.96 and 649.28

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Solution

The fourth proportional to 2,292.80, 3,438.96 and 649.28 is: 973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.80 : 3,438.96 = 649.28 : x
  2. Step 2: Convert to fraction form
    2,292.80/3,438.96 = 649.28/x
  3. Step 3: Cross multiply
    2,292.80x = 3,438.96 × 649.28
  4. Step 4: Simplify right side
    2,292.80x = 2,232,847.95
  5. Step 5: Solve for x
    x = 2,232,847.95/2,292.80
  6. Step 6: Final answer
    x = 973.85

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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.