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Finding the Fourth Proportional to 1,697.44, 2,339.94 and 1,136.92

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Solution

The fourth proportional to 1,697.44, 2,339.94 and 1,136.92 is: 1,567.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.44 : 2,339.94 = 1,136.92 : x
  2. Step 2: Convert to fraction form
    1,697.44/2,339.94 = 1,136.92/x
  3. Step 3: Cross multiply
    1,697.44x = 2,339.94 × 1,136.92
  4. Step 4: Simplify right side
    1,697.44x = 2,660,324.58
  5. Step 5: Solve for x
    x = 2,660,324.58/1,697.44
  6. Step 6: Final answer
    x = 1,567.26

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Double scale
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1.5x scale

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.