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Finding the Fourth Proportional to 2,287.14, 3,430.74 and 643.74

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Solution

The fourth proportional to 2,287.14, 3,430.74 and 643.74 is: 965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.14 : 3,430.74 = 643.74 : x
  2. Step 2: Convert to fraction form
    2,287.14/3,430.74 = 643.74/x
  3. Step 3: Cross multiply
    2,287.14x = 3,430.74 × 643.74
  4. Step 4: Simplify right side
    2,287.14x = 2,208,504.57
  5. Step 5: Solve for x
    x = 2,208,504.57/2,287.14
  6. Step 6: Final answer
    x = 965.62

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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.