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Finding the Fourth Proportional to 2,857.63, 3,943.47 and 1,598.65

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Solution

The fourth proportional to 2,857.63, 3,943.47 and 1,598.65 is: 2,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.63 : 3,943.47 = 1,598.65 : x
  2. Step 2: Convert to fraction form
    2,857.63/3,943.47 = 1,598.65/x
  3. Step 3: Cross multiply
    2,857.63x = 3,943.47 × 1,598.65
  4. Step 4: Simplify right side
    2,857.63x = 6,304,228.32
  5. Step 5: Solve for x
    x = 6,304,228.32/2,857.63
  6. Step 6: Final answer
    x = 2,206.10

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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.