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Finding the Fourth Proportional to 2,370.39, 3,555.73 and 726.96

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Solution

The fourth proportional to 2,370.39, 3,555.73 and 726.96 is: 1,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.39 : 3,555.73 = 726.96 : x
  2. Step 2: Convert to fraction form
    2,370.39/3,555.73 = 726.96/x
  3. Step 3: Cross multiply
    2,370.39x = 3,555.73 × 726.96
  4. Step 4: Simplify right side
    2,370.39x = 2,584,853.88
  5. Step 5: Solve for x
    x = 2,584,853.88/2,370.39
  6. Step 6: Final answer
    x = 1,090.48

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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.