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Finding the Fourth Proportional to 2,201.80, 3,303.05 and 740.62

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Solution

The fourth proportional to 2,201.80, 3,303.05 and 740.62 is: 1,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.80 : 3,303.05 = 740.62 : x
  2. Step 2: Convert to fraction form
    2,201.80/3,303.05 = 740.62/x
  3. Step 3: Cross multiply
    2,201.80x = 3,303.05 × 740.62
  4. Step 4: Simplify right side
    2,201.80x = 2,446,304.89
  5. Step 5: Solve for x
    x = 2,446,304.89/2,201.80
  6. Step 6: Final answer
    x = 1,111.05

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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.