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Finding the Fourth Proportional to 2,300.04, 3,449.72 and 983.96

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Solution

The fourth proportional to 2,300.04, 3,449.72 and 983.96 is: 1,475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.04 : 3,449.72 = 983.96 : x
  2. Step 2: Convert to fraction form
    2,300.04/3,449.72 = 983.96/x
  3. Step 3: Cross multiply
    2,300.04x = 3,449.72 × 983.96
  4. Step 4: Simplify right side
    2,300.04x = 3,394,386.49
  5. Step 5: Solve for x
    x = 3,394,386.49/2,300.04
  6. Step 6: Final answer
    x = 1,475.79

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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.