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Finding the Fourth Proportional to 2,857.90, 3,943.88 and 1,598.95

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Solution

The fourth proportional to 2,857.90, 3,943.88 and 1,598.95 is: 2,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.90 : 3,943.88 = 1,598.95 : x
  2. Step 2: Convert to fraction form
    2,857.90/3,943.88 = 1,598.95/x
  3. Step 3: Cross multiply
    2,857.90x = 3,943.88 × 1,598.95
  4. Step 4: Simplify right side
    2,857.90x = 6,306,066.93
  5. Step 5: Solve for x
    x = 6,306,066.93/2,857.90
  6. Step 6: Final answer
    x = 2,206.54

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Why These Related Problems?

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