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Finding the Fourth Proportional to 2,385.16, 3,578.34 and 997.90

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Solution

The fourth proportional to 2,385.16, 3,578.34 and 997.90 is: 1,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.16 : 3,578.34 = 997.90 : x
  2. Step 2: Convert to fraction form
    2,385.16/3,578.34 = 997.90/x
  3. Step 3: Cross multiply
    2,385.16x = 3,578.34 × 997.90
  4. Step 4: Simplify right side
    2,385.16x = 3,570,825.49
  5. Step 5: Solve for x
    x = 3,570,825.49/2,385.16
  6. Step 6: Final answer
    x = 1,497.10

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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.