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Finding the Fourth Proportional to 1,643.43, 2,461.23 and 911.19

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Solution

The fourth proportional to 1,643.43, 2,461.23 and 911.19 is: 1,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.43 : 2,461.23 = 911.19 : x
  2. Step 2: Convert to fraction form
    1,643.43/2,461.23 = 911.19/x
  3. Step 3: Cross multiply
    1,643.43x = 2,461.23 × 911.19
  4. Step 4: Simplify right side
    1,643.43x = 2,242,657.39
  5. Step 5: Solve for x
    x = 2,242,657.39/1,643.43
  6. Step 6: Final answer
    x = 1,364.62

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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.