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Finding the Fourth Proportional to 2,477.45, 3,716.56 and 833.87

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Solution

The fourth proportional to 2,477.45, 3,716.56 and 833.87 is: 1,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.45 : 3,716.56 = 833.87 : x
  2. Step 2: Convert to fraction form
    2,477.45/3,716.56 = 833.87/x
  3. Step 3: Cross multiply
    2,477.45x = 3,716.56 × 833.87
  4. Step 4: Simplify right side
    2,477.45x = 3,099,126.74
  5. Step 5: Solve for x
    x = 3,099,126.74/2,477.45
  6. Step 6: Final answer
    x = 1,250.93

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1.5x scale

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.