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Finding the Fourth Proportional to 2,398.98, 3,598.86 and 839.42

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Solution

The fourth proportional to 2,398.98, 3,598.86 and 839.42 is: 1,259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.98 : 3,598.86 = 839.42 : x
  2. Step 2: Convert to fraction form
    2,398.98/3,598.86 = 839.42/x
  3. Step 3: Cross multiply
    2,398.98x = 3,598.86 × 839.42
  4. Step 4: Simplify right side
    2,398.98x = 3,020,955.06
  5. Step 5: Solve for x
    x = 3,020,955.06/2,398.98
  6. Step 6: Final answer
    x = 1,259.27

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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.