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Finding the Fourth Proportional to 2,705.74, 4,039.03 and 2,377.69

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Solution

The fourth proportional to 2,705.74, 4,039.03 and 2,377.69 is: 3,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.74 : 4,039.03 = 2,377.69 : x
  2. Step 2: Convert to fraction form
    2,705.74/4,039.03 = 2,377.69/x
  3. Step 3: Cross multiply
    2,705.74x = 4,039.03 × 2,377.69
  4. Step 4: Simplify right side
    2,705.74x = 9,603,554.12
  5. Step 5: Solve for x
    x = 9,603,554.12/2,705.74
  6. Step 6: Final answer
    x = 3,549.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.