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Finding the Fourth Proportional to 2,292.32, 3,438.16 and 649.04

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Solution

The fourth proportional to 2,292.32, 3,438.16 and 649.04 is: 973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.32 : 3,438.16 = 649.04 : x
  2. Step 2: Convert to fraction form
    2,292.32/3,438.16 = 649.04/x
  3. Step 3: Cross multiply
    2,292.32x = 3,438.16 × 649.04
  4. Step 4: Simplify right side
    2,292.32x = 2,231,503.37
  5. Step 5: Solve for x
    x = 2,231,503.37/2,292.32
  6. Step 6: Final answer
    x = 973.47

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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.