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Finding the Fourth Proportional to 2,264.32, 3,367.68 and 2,256.64

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Solution

The fourth proportional to 2,264.32, 3,367.68 and 2,256.64 is: 3,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.32 : 3,367.68 = 2,256.64 : x
  2. Step 2: Convert to fraction form
    2,264.32/3,367.68 = 2,256.64/x
  3. Step 3: Cross multiply
    2,264.32x = 3,367.68 × 2,256.64
  4. Step 4: Simplify right side
    2,264.32x = 7,599,641.40
  5. Step 5: Solve for x
    x = 7,599,641.40/2,264.32
  6. Step 6: Final answer
    x = 3,356.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.