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Finding the Fourth Proportional to 2,136.40, 3,200.34 and 1,698.40

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Solution

The fourth proportional to 2,136.40, 3,200.34 and 1,698.40 is: 2,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.40 : 3,200.34 = 1,698.40 : x
  2. Step 2: Convert to fraction form
    2,136.40/3,200.34 = 1,698.40/x
  3. Step 3: Cross multiply
    2,136.40x = 3,200.34 × 1,698.40
  4. Step 4: Simplify right side
    2,136.40x = 5,435,457.46
  5. Step 5: Solve for x
    x = 5,435,457.46/2,136.40
  6. Step 6: Final answer
    x = 2,544.21

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1.5x scale

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.