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Finding the Fourth Proportional to 2,828.79, 3,902.49 and 1,649.16

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Solution

The fourth proportional to 2,828.79, 3,902.49 and 1,649.16 is: 2,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.79 : 3,902.49 = 1,649.16 : x
  2. Step 2: Convert to fraction form
    2,828.79/3,902.49 = 1,649.16/x
  3. Step 3: Cross multiply
    2,828.79x = 3,902.49 × 1,649.16
  4. Step 4: Simplify right side
    2,828.79x = 6,435,830.41
  5. Step 5: Solve for x
    x = 6,435,830.41/2,828.79
  6. Step 6: Final answer
    x = 2,275.12

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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.