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Finding the Fourth Proportional to 2,264.22, 3,102.03 and 2,176.74

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Solution

The fourth proportional to 2,264.22, 3,102.03 and 2,176.74 is: 2,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.22 : 3,102.03 = 2,176.74 : x
  2. Step 2: Convert to fraction form
    2,264.22/3,102.03 = 2,176.74/x
  3. Step 3: Cross multiply
    2,264.22x = 3,102.03 × 2,176.74
  4. Step 4: Simplify right side
    2,264.22x = 6,752,312.78
  5. Step 5: Solve for x
    x = 6,752,312.78/2,264.22
  6. Step 6: Final answer
    x = 2,982.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.