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Finding the Fourth Proportional to 1,549.15, 2,323.05 and 963.27

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Solution

The fourth proportional to 1,549.15, 2,323.05 and 963.27 is: 1,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.15 : 2,323.05 = 963.27 : x
  2. Step 2: Convert to fraction form
    1,549.15/2,323.05 = 963.27/x
  3. Step 3: Cross multiply
    1,549.15x = 2,323.05 × 963.27
  4. Step 4: Simplify right side
    1,549.15x = 2,237,724.37
  5. Step 5: Solve for x
    x = 2,237,724.37/1,549.15
  6. Step 6: Final answer
    x = 1,444.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.