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Finding the Fourth Proportional to 2,284.92, 3,150.04 and 1,445.20

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Solution

The fourth proportional to 2,284.92, 3,150.04 and 1,445.20 is: 1,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.92 : 3,150.04 = 1,445.20 : x
  2. Step 2: Convert to fraction form
    2,284.92/3,150.04 = 1,445.20/x
  3. Step 3: Cross multiply
    2,284.92x = 3,150.04 × 1,445.20
  4. Step 4: Simplify right side
    2,284.92x = 4,552,437.81
  5. Step 5: Solve for x
    x = 4,552,437.81/2,284.92
  6. Step 6: Final answer
    x = 1,992.38

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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.