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Finding the Fourth Proportional to 2,284.40, 3,152.76 and 1,400.32

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Solution

The fourth proportional to 2,284.40, 3,152.76 and 1,400.32 is: 1,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.40 : 3,152.76 = 1,400.32 : x
  2. Step 2: Convert to fraction form
    2,284.40/3,152.76 = 1,400.32/x
  3. Step 3: Cross multiply
    2,284.40x = 3,152.76 × 1,400.32
  4. Step 4: Simplify right side
    2,284.40x = 4,414,872.88
  5. Step 5: Solve for x
    x = 4,414,872.88/2,284.40
  6. Step 6: Final answer
    x = 1,932.62

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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.