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Finding the Fourth Proportional to 2,332.94, 3,219.46 and 1,285

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Solution

The fourth proportional to 2,332.94, 3,219.46 and 1,285 is: 1,773.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.94 : 3,219.46 = 1,285 : x
  2. Step 2: Convert to fraction form
    2,332.94/3,219.46 = 1,285/x
  3. Step 3: Cross multiply
    2,332.94x = 3,219.46 × 1,285
  4. Step 4: Simplify right side
    2,332.94x = 4,137,006.10
  5. Step 5: Solve for x
    x = 4,137,006.10/2,332.94
  6. Step 6: Final answer
    x = 1,773.30

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Why These Related Problems?

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