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Finding the Fourth Proportional to 2,506.87, 3,760.44 and 775.63

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Solution

The fourth proportional to 2,506.87, 3,760.44 and 775.63 is: 1,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.87 : 3,760.44 = 775.63 : x
  2. Step 2: Convert to fraction form
    2,506.87/3,760.44 = 775.63/x
  3. Step 3: Cross multiply
    2,506.87x = 3,760.44 × 775.63
  4. Step 4: Simplify right side
    2,506.87x = 2,916,710.08
  5. Step 5: Solve for x
    x = 2,916,710.08/2,506.87
  6. Step 6: Final answer
    x = 1,163.49

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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.