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Finding the Fourth Proportional to 2,820.55, 4,230.45 and 740.71

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Solution

The fourth proportional to 2,820.55, 4,230.45 and 740.71 is: 1,110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.55 : 4,230.45 = 740.71 : x
  2. Step 2: Convert to fraction form
    2,820.55/4,230.45 = 740.71/x
  3. Step 3: Cross multiply
    2,820.55x = 4,230.45 × 740.71
  4. Step 4: Simplify right side
    2,820.55x = 3,133,536.62
  5. Step 5: Solve for x
    x = 3,133,536.62/2,820.55
  6. Step 6: Final answer
    x = 1,110.97

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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.