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Finding the Fourth Proportional to 2,201.78, 3,303.38 and 740.95

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Solution

The fourth proportional to 2,201.78, 3,303.38 and 740.95 is: 1,111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.78 : 3,303.38 = 740.95 : x
  2. Step 2: Convert to fraction form
    2,201.78/3,303.38 = 740.95/x
  3. Step 3: Cross multiply
    2,201.78x = 3,303.38 × 740.95
  4. Step 4: Simplify right side
    2,201.78x = 2,447,633.00
  5. Step 5: Solve for x
    x = 2,447,633.00/2,201.78
  6. Step 6: Final answer
    x = 1,111.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.