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Finding the Fourth Proportional to 2,772.59, 4,158.32 and 923.49

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Solution

The fourth proportional to 2,772.59, 4,158.32 and 923.49 is: 1,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.59 : 4,158.32 = 923.49 : x
  2. Step 2: Convert to fraction form
    2,772.59/4,158.32 = 923.49/x
  3. Step 3: Cross multiply
    2,772.59x = 4,158.32 × 923.49
  4. Step 4: Simplify right side
    2,772.59x = 3,840,162.32
  5. Step 5: Solve for x
    x = 3,840,162.32/2,772.59
  6. Step 6: Final answer
    x = 1,385.05

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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.