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Finding the Fourth Proportional to 2,857.40, 3,943.18 and 1,598.45

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Solution

The fourth proportional to 2,857.40, 3,943.18 and 1,598.45 is: 2,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.40 : 3,943.18 = 1,598.45 : x
  2. Step 2: Convert to fraction form
    2,857.40/3,943.18 = 1,598.45/x
  3. Step 3: Cross multiply
    2,857.40x = 3,943.18 × 1,598.45
  4. Step 4: Simplify right side
    2,857.40x = 6,302,968.08
  5. Step 5: Solve for x
    x = 6,302,968.08/2,857.40
  6. Step 6: Final answer
    x = 2,205.84

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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.