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Finding the Fourth Proportional to 2,008.92, 2,772.32 and 1,124.74

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Solution

The fourth proportional to 2,008.92, 2,772.32 and 1,124.74 is: 1,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.92 : 2,772.32 = 1,124.74 : x
  2. Step 2: Convert to fraction form
    2,008.92/2,772.32 = 1,124.74/x
  3. Step 3: Cross multiply
    2,008.92x = 2,772.32 × 1,124.74
  4. Step 4: Simplify right side
    2,008.92x = 3,118,143.37
  5. Step 5: Solve for x
    x = 3,118,143.37/2,008.92
  6. Step 6: Final answer
    x = 1,552.15

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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.