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Finding the Fourth Proportional to 2,710.44, 4,065.63 and 1,228.86

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Solution

The fourth proportional to 2,710.44, 4,065.63 and 1,228.86 is: 1,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.44 : 4,065.63 = 1,228.86 : x
  2. Step 2: Convert to fraction form
    2,710.44/4,065.63 = 1,228.86/x
  3. Step 3: Cross multiply
    2,710.44x = 4,065.63 × 1,228.86
  4. Step 4: Simplify right side
    2,710.44x = 4,996,090.08
  5. Step 5: Solve for x
    x = 4,996,090.08/2,710.44
  6. Step 6: Final answer
    x = 1,843.28

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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.