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Finding the Fourth Proportional to 1,997.55, 2,756.90 and 1,158.53

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Solution

The fourth proportional to 1,997.55, 2,756.90 and 1,158.53 is: 1,598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.55 : 2,756.90 = 1,158.53 : x
  2. Step 2: Convert to fraction form
    1,997.55/2,756.90 = 1,158.53/x
  3. Step 3: Cross multiply
    1,997.55x = 2,756.90 × 1,158.53
  4. Step 4: Simplify right side
    1,997.55x = 3,193,940.47
  5. Step 5: Solve for x
    x = 3,193,940.47/1,997.55
  6. Step 6: Final answer
    x = 1,598.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.