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Finding the Fourth Proportional to 2,167.60, 3,244.12 and 1,803.12

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Solution

The fourth proportional to 2,167.60, 3,244.12 and 1,803.12 is: 2,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.60 : 3,244.12 = 1,803.12 : x
  2. Step 2: Convert to fraction form
    2,167.60/3,244.12 = 1,803.12/x
  3. Step 3: Cross multiply
    2,167.60x = 3,244.12 × 1,803.12
  4. Step 4: Simplify right side
    2,167.60x = 5,849,537.65
  5. Step 5: Solve for x
    x = 5,849,537.65/2,167.60
  6. Step 6: Final answer
    x = 2,698.62

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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.