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Finding the Fourth Proportional to 1,697.51, 2,546.49 and 601.52

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Solution

The fourth proportional to 1,697.51, 2,546.49 and 601.52 is: 902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.51 : 2,546.49 = 601.52 : x
  2. Step 2: Convert to fraction form
    1,697.51/2,546.49 = 601.52/x
  3. Step 3: Cross multiply
    1,697.51x = 2,546.49 × 601.52
  4. Step 4: Simplify right side
    1,697.51x = 1,531,764.66
  5. Step 5: Solve for x
    x = 1,531,764.66/1,697.51
  6. Step 6: Final answer
    x = 902.36

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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.