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Finding the Fourth Proportional to 2,128.21, 3,188.77 and 740.78

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Solution

The fourth proportional to 2,128.21, 3,188.77 and 740.78 is: 1,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.21 : 3,188.77 = 740.78 : x
  2. Step 2: Convert to fraction form
    2,128.21/3,188.77 = 740.78/x
  3. Step 3: Cross multiply
    2,128.21x = 3,188.77 × 740.78
  4. Step 4: Simplify right side
    2,128.21x = 2,362,171.20
  5. Step 5: Solve for x
    x = 2,362,171.20/2,128.21
  6. Step 6: Final answer
    x = 1,109.93

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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.