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Finding the Fourth Proportional to 1,541.45, 2,126.99 and 869.27

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Solution

The fourth proportional to 1,541.45, 2,126.99 and 869.27 is: 1,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.45 : 2,126.99 = 869.27 : x
  2. Step 2: Convert to fraction form
    1,541.45/2,126.99 = 869.27/x
  3. Step 3: Cross multiply
    1,541.45x = 2,126.99 × 869.27
  4. Step 4: Simplify right side
    1,541.45x = 1,848,920.14
  5. Step 5: Solve for x
    x = 1,848,920.14/1,541.45
  6. Step 6: Final answer
    x = 1,199.47

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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.