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Finding the Fourth Proportional to 1,726.64, 2,383.74 and 1,170.08

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Solution

The fourth proportional to 1,726.64, 2,383.74 and 1,170.08 is: 1,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.64 : 2,383.74 = 1,170.08 : x
  2. Step 2: Convert to fraction form
    1,726.64/2,383.74 = 1,170.08/x
  3. Step 3: Cross multiply
    1,726.64x = 2,383.74 × 1,170.08
  4. Step 4: Simplify right side
    1,726.64x = 2,789,166.50
  5. Step 5: Solve for x
    x = 2,789,166.50/1,726.64
  6. Step 6: Final answer
    x = 1,615.37

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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.