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Finding the Fourth Proportional to 1,697.66, 2,542.39 and 965.01

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Solution

The fourth proportional to 1,697.66, 2,542.39 and 965.01 is: 1,445.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.66 : 2,542.39 = 965.01 : x
  2. Step 2: Convert to fraction form
    1,697.66/2,542.39 = 965.01/x
  3. Step 3: Cross multiply
    1,697.66x = 2,542.39 × 965.01
  4. Step 4: Simplify right side
    1,697.66x = 2,453,438.90
  5. Step 5: Solve for x
    x = 2,453,438.90/1,697.66
  6. Step 6: Final answer
    x = 1,445.19

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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.