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Finding the Fourth Proportional to 1,549.52, 2,138.19 and 919.94

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Solution

The fourth proportional to 1,549.52, 2,138.19 and 919.94 is: 1,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.52 : 2,138.19 = 919.94 : x
  2. Step 2: Convert to fraction form
    1,549.52/2,138.19 = 919.94/x
  3. Step 3: Cross multiply
    1,549.52x = 2,138.19 × 919.94
  4. Step 4: Simplify right side
    1,549.52x = 1,966,995.82
  5. Step 5: Solve for x
    x = 1,966,995.82/1,549.52
  6. Step 6: Final answer
    x = 1,269.43

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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.