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Finding the Fourth Proportional to 2,201.82, 3,302.76 and 740.98

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Solution

The fourth proportional to 2,201.82, 3,302.76 and 740.98 is: 1,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.82 : 3,302.76 = 740.98 : x
  2. Step 2: Convert to fraction form
    2,201.82/3,302.76 = 740.98/x
  3. Step 3: Cross multiply
    2,201.82x = 3,302.76 × 740.98
  4. Step 4: Simplify right side
    2,201.82x = 2,447,279.10
  5. Step 5: Solve for x
    x = 2,447,279.10/2,201.82
  6. Step 6: Final answer
    x = 1,111.48

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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.