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Finding the Fourth Proportional to 2,300.23, 3,449.48 and 983.93

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Solution

The fourth proportional to 2,300.23, 3,449.48 and 983.93 is: 1,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.23 : 3,449.48 = 983.93 : x
  2. Step 2: Convert to fraction form
    2,300.23/3,449.48 = 983.93/x
  3. Step 3: Cross multiply
    2,300.23x = 3,449.48 × 983.93
  4. Step 4: Simplify right side
    2,300.23x = 3,394,041.94
  5. Step 5: Solve for x
    x = 3,394,041.94/2,300.23
  6. Step 6: Final answer
    x = 1,475.52

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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.