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Finding the Fourth Proportional to 1,743.96, 2,613.78 and 922.44

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Solution

The fourth proportional to 1,743.96, 2,613.78 and 922.44 is: 1,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.96 : 2,613.78 = 922.44 : x
  2. Step 2: Convert to fraction form
    1,743.96/2,613.78 = 922.44/x
  3. Step 3: Cross multiply
    1,743.96x = 2,613.78 × 922.44
  4. Step 4: Simplify right side
    1,743.96x = 2,411,055.22
  5. Step 5: Solve for x
    x = 2,411,055.22/1,743.96
  6. Step 6: Final answer
    x = 1,382.52

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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.