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Finding the Fourth Proportional to 2,574.06, 3,857.31 and 1,876.65

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Solution

The fourth proportional to 2,574.06, 3,857.31 and 1,876.65 is: 2,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.06 : 3,857.31 = 1,876.65 : x
  2. Step 2: Convert to fraction form
    2,574.06/3,857.31 = 1,876.65/x
  3. Step 3: Cross multiply
    2,574.06x = 3,857.31 × 1,876.65
  4. Step 4: Simplify right side
    2,574.06x = 7,238,820.81
  5. Step 5: Solve for x
    x = 7,238,820.81/2,574.06
  6. Step 6: Final answer
    x = 2,812.22

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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.