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Finding the Fourth Proportional to 1,645.07, 2,468.61 and 865.63

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Solution

The fourth proportional to 1,645.07, 2,468.61 and 865.63 is: 1,298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.07 : 2,468.61 = 865.63 : x
  2. Step 2: Convert to fraction form
    1,645.07/2,468.61 = 865.63/x
  3. Step 3: Cross multiply
    1,645.07x = 2,468.61 × 865.63
  4. Step 4: Simplify right side
    1,645.07x = 2,136,899.02
  5. Step 5: Solve for x
    x = 2,136,899.02/1,645.07
  6. Step 6: Final answer
    x = 1,298.97

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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.