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Finding the Fourth Proportional to 1,891.53, 2,609.91 and 1,192.50

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Solution

The fourth proportional to 1,891.53, 2,609.91 and 1,192.50 is: 1,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.53 : 2,609.91 = 1,192.50 : x
  2. Step 2: Convert to fraction form
    1,891.53/2,609.91 = 1,192.50/x
  3. Step 3: Cross multiply
    1,891.53x = 2,609.91 × 1,192.50
  4. Step 4: Simplify right side
    1,891.53x = 3,112,317.68
  5. Step 5: Solve for x
    x = 3,112,317.68/1,891.53
  6. Step 6: Final answer
    x = 1,645.40

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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.