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Finding the Fourth Proportional to 2,422.65, 3,343.79 and 1,857.00

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Solution

The fourth proportional to 2,422.65, 3,343.79 and 1,857.00 is: 2,563.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.65 : 3,343.79 = 1,857.00 : x
  2. Step 2: Convert to fraction form
    2,422.65/3,343.79 = 1,857.00/x
  3. Step 3: Cross multiply
    2,422.65x = 3,343.79 × 1,857.00
  4. Step 4: Simplify right side
    2,422.65x = 6,209,435.21
  5. Step 5: Solve for x
    x = 6,209,435.21/2,422.65
  6. Step 6: Final answer
    x = 2,563.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.