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Finding the Fourth Proportional to 3,412.66, 4,707.63 and 2,280.28

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Solution

The fourth proportional to 3,412.66, 4,707.63 and 2,280.28 is: 3,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.66 : 4,707.63 = 2,280.28 : x
  2. Step 2: Convert to fraction form
    3,412.66/4,707.63 = 2,280.28/x
  3. Step 3: Cross multiply
    3,412.66x = 4,707.63 × 2,280.28
  4. Step 4: Simplify right side
    3,412.66x = 10,734,714.54
  5. Step 5: Solve for x
    x = 10,734,714.54/3,412.66
  6. Step 6: Final answer
    x = 3,145.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.