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Finding the Fourth Proportional to 1,726.94, 2,587.16 and 859.16

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Solution

The fourth proportional to 1,726.94, 2,587.16 and 859.16 is: 1,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.94 : 2,587.16 = 859.16 : x
  2. Step 2: Convert to fraction form
    1,726.94/2,587.16 = 859.16/x
  3. Step 3: Cross multiply
    1,726.94x = 2,587.16 × 859.16
  4. Step 4: Simplify right side
    1,726.94x = 2,222,767.15
  5. Step 5: Solve for x
    x = 2,222,767.15/1,726.94
  6. Step 6: Final answer
    x = 1,287.12

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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.