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Finding the Fourth Proportional to 2,287.07, 3,430.61 and 643.62

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Solution

The fourth proportional to 2,287.07, 3,430.61 and 643.62 is: 965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.07 : 3,430.61 = 643.62 : x
  2. Step 2: Convert to fraction form
    2,287.07/3,430.61 = 643.62/x
  3. Step 3: Cross multiply
    2,287.07x = 3,430.61 × 643.62
  4. Step 4: Simplify right side
    2,287.07x = 2,207,993.13
  5. Step 5: Solve for x
    x = 2,207,993.13/2,287.07
  6. Step 6: Final answer
    x = 965.42

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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.