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Finding the Fourth Proportional to 2,820.64, 4,230.60 and 740.56

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Solution

The fourth proportional to 2,820.64, 4,230.60 and 740.56 is: 1,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.64 : 4,230.60 = 740.56 : x
  2. Step 2: Convert to fraction form
    2,820.64/4,230.60 = 740.56/x
  3. Step 3: Cross multiply
    2,820.64x = 4,230.60 × 740.56
  4. Step 4: Simplify right side
    2,820.64x = 3,133,013.14
  5. Step 5: Solve for x
    x = 3,133,013.14/2,820.64
  6. Step 6: Final answer
    x = 1,110.75

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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.