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Finding the Fourth Proportional to 2,758.65, 4,137.38 and 1,003.70

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Solution

The fourth proportional to 2,758.65, 4,137.38 and 1,003.70 is: 1,505.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.65 : 4,137.38 = 1,003.70 : x
  2. Step 2: Convert to fraction form
    2,758.65/4,137.38 = 1,003.70/x
  3. Step 3: Cross multiply
    2,758.65x = 4,137.38 × 1,003.70
  4. Step 4: Simplify right side
    2,758.65x = 4,152,669.03
  5. Step 5: Solve for x
    x = 4,152,669.03/2,758.65
  6. Step 6: Final answer
    x = 1,505.33

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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.