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Finding the Fourth Proportional to 2,300.82, 3,451.15 and 740.93

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Solution

The fourth proportional to 2,300.82, 3,451.15 and 740.93 is: 1,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.82 : 3,451.15 = 740.93 : x
  2. Step 2: Convert to fraction form
    2,300.82/3,451.15 = 740.93/x
  3. Step 3: Cross multiply
    2,300.82x = 3,451.15 × 740.93
  4. Step 4: Simplify right side
    2,300.82x = 2,557,060.57
  5. Step 5: Solve for x
    x = 2,557,060.57/2,300.82
  6. Step 6: Final answer
    x = 1,111.37

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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.