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Finding the Fourth Proportional to 2,758.68, 3,807.66 and 1,875.96

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Solution

The fourth proportional to 2,758.68, 3,807.66 and 1,875.96 is: 2,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.68 : 3,807.66 = 1,875.96 : x
  2. Step 2: Convert to fraction form
    2,758.68/3,807.66 = 1,875.96/x
  3. Step 3: Cross multiply
    2,758.68x = 3,807.66 × 1,875.96
  4. Step 4: Simplify right side
    2,758.68x = 7,143,017.85
  5. Step 5: Solve for x
    x = 7,143,017.85/2,758.68
  6. Step 6: Final answer
    x = 2,589.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.