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Finding the Fourth Proportional to 3,122.66, 4,678.51 and 2,783.70

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Solution

The fourth proportional to 3,122.66, 4,678.51 and 2,783.70 is: 4,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.66 : 4,678.51 = 2,783.70 : x
  2. Step 2: Convert to fraction form
    3,122.66/4,678.51 = 2,783.70/x
  3. Step 3: Cross multiply
    3,122.66x = 4,678.51 × 2,783.70
  4. Step 4: Simplify right side
    3,122.66x = 13,023,568.29
  5. Step 5: Solve for x
    x = 13,023,568.29/3,122.66
  6. Step 6: Final answer
    x = 4,170.66

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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.