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Finding the Fourth Proportional to 2,483.04, 3,724.56 and 839.58

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Solution

The fourth proportional to 2,483.04, 3,724.56 and 839.58 is: 1,259.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.04 : 3,724.56 = 839.58 : x
  2. Step 2: Convert to fraction form
    2,483.04/3,724.56 = 839.58/x
  3. Step 3: Cross multiply
    2,483.04x = 3,724.56 × 839.58
  4. Step 4: Simplify right side
    2,483.04x = 3,127,066.08
  5. Step 5: Solve for x
    x = 3,127,066.08/2,483.04
  6. Step 6: Final answer
    x = 1,259.37

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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.