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Finding the Fourth Proportional to 2,341.96, 3,513.42 and 803.08

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Solution

The fourth proportional to 2,341.96, 3,513.42 and 803.08 is: 1,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.96 : 3,513.42 = 803.08 : x
  2. Step 2: Convert to fraction form
    2,341.96/3,513.42 = 803.08/x
  3. Step 3: Cross multiply
    2,341.96x = 3,513.42 × 803.08
  4. Step 4: Simplify right side
    2,341.96x = 2,821,557.33
  5. Step 5: Solve for x
    x = 2,821,557.33/2,341.96
  6. Step 6: Final answer
    x = 1,204.78

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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.