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Finding the Fourth Proportional to 3,136.73, 4,328.77 and 1,720.48

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Solution

The fourth proportional to 3,136.73, 4,328.77 and 1,720.48 is: 2,374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.73 : 4,328.77 = 1,720.48 : x
  2. Step 2: Convert to fraction form
    3,136.73/4,328.77 = 1,720.48/x
  3. Step 3: Cross multiply
    3,136.73x = 4,328.77 × 1,720.48
  4. Step 4: Simplify right side
    3,136.73x = 7,447,547.09
  5. Step 5: Solve for x
    x = 7,447,547.09/3,136.73
  6. Step 6: Final answer
    x = 2,374.30

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Half 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.