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Finding the Fourth Proportional to 2,476.55, 3,715.39 and 833.05

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Solution

The fourth proportional to 2,476.55, 3,715.39 and 833.05 is: 1,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.55 : 3,715.39 = 833.05 : x
  2. Step 2: Convert to fraction form
    2,476.55/3,715.39 = 833.05/x
  3. Step 3: Cross multiply
    2,476.55x = 3,715.39 × 833.05
  4. Step 4: Simplify right side
    2,476.55x = 3,095,121.51
  5. Step 5: Solve for x
    x = 3,095,121.51/2,476.55
  6. Step 6: Final answer
    x = 1,249.77

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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.