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Finding the Fourth Proportional to 2,039.35, 3,059.49 and 740.82

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Solution

The fourth proportional to 2,039.35, 3,059.49 and 740.82 is: 1,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.35 : 3,059.49 = 740.82 : x
  2. Step 2: Convert to fraction form
    2,039.35/3,059.49 = 740.82/x
  3. Step 3: Cross multiply
    2,039.35x = 3,059.49 × 740.82
  4. Step 4: Simplify right side
    2,039.35x = 2,266,531.38
  5. Step 5: Solve for x
    x = 2,266,531.38/2,039.35
  6. Step 6: Final answer
    x = 1,111.40

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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.