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Finding the Fourth Proportional to 3,009.48, 4,148.46 and 2,264.28

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Solution

The fourth proportional to 3,009.48, 4,148.46 and 2,264.28 is: 3,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.48 : 4,148.46 = 2,264.28 : x
  2. Step 2: Convert to fraction form
    3,009.48/4,148.46 = 2,264.28/x
  3. Step 3: Cross multiply
    3,009.48x = 4,148.46 × 2,264.28
  4. Step 4: Simplify right side
    3,009.48x = 9,393,275.01
  5. Step 5: Solve for x
    x = 9,393,275.01/3,009.48
  6. Step 6: Final answer
    x = 3,121.23

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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.