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Finding the Fourth Proportional to 2,335.72, 3,504.09 and 776.20

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Solution

The fourth proportional to 2,335.72, 3,504.09 and 776.20 is: 1,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.72 : 3,504.09 = 776.20 : x
  2. Step 2: Convert to fraction form
    2,335.72/3,504.09 = 776.20/x
  3. Step 3: Cross multiply
    2,335.72x = 3,504.09 × 776.20
  4. Step 4: Simplify right side
    2,335.72x = 2,719,874.66
  5. Step 5: Solve for x
    x = 2,719,874.66/2,335.72
  6. Step 6: Final answer
    x = 1,164.47

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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.