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Finding the Fourth Proportional to 2,476.70, 3,716.27 and 1,089.87

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Solution

The fourth proportional to 2,476.70, 3,716.27 and 1,089.87 is: 1,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.70 : 3,716.27 = 1,089.87 : x
  2. Step 2: Convert to fraction form
    2,476.70/3,716.27 = 1,089.87/x
  3. Step 3: Cross multiply
    2,476.70x = 3,716.27 × 1,089.87
  4. Step 4: Simplify right side
    2,476.70x = 4,050,232.82
  5. Step 5: Solve for x
    x = 4,050,232.82/2,476.70
  6. Step 6: Final answer
    x = 1,635.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.