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Finding the Fourth Proportional to 2,649.16, 3,979.50 and 1,785.16

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Solution

The fourth proportional to 2,649.16, 3,979.50 and 1,785.16 is: 2,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.16 : 3,979.50 = 1,785.16 : x
  2. Step 2: Convert to fraction form
    2,649.16/3,979.50 = 1,785.16/x
  3. Step 3: Cross multiply
    2,649.16x = 3,979.50 × 1,785.16
  4. Step 4: Simplify right side
    2,649.16x = 7,104,044.22
  5. Step 5: Solve for x
    x = 7,104,044.22/2,649.16
  6. Step 6: Final answer
    x = 2,681.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.