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Finding the Fourth Proportional to 2,776.74, 4,146.79 and 2,470.56

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Solution

The fourth proportional to 2,776.74, 4,146.79 and 2,470.56 is: 3,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.74 : 4,146.79 = 2,470.56 : x
  2. Step 2: Convert to fraction form
    2,776.74/4,146.79 = 2,470.56/x
  3. Step 3: Cross multiply
    2,776.74x = 4,146.79 × 2,470.56
  4. Step 4: Simplify right side
    2,776.74x = 10,244,893.50
  5. Step 5: Solve for x
    x = 10,244,893.50/2,776.74
  6. Step 6: Final answer
    x = 3,689.54

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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.