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Finding the Fourth Proportional to 2,380.44, 3,570.12 and 649.20

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Solution

The fourth proportional to 2,380.44, 3,570.12 and 649.20 is: 973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.44 : 3,570.12 = 649.20 : x
  2. Step 2: Convert to fraction form
    2,380.44/3,570.12 = 649.20/x
  3. Step 3: Cross multiply
    2,380.44x = 3,570.12 × 649.20
  4. Step 4: Simplify right side
    2,380.44x = 2,317,721.90
  5. Step 5: Solve for x
    x = 2,317,721.90/2,380.44
  6. Step 6: Final answer
    x = 973.65

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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.