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Finding the Fourth Proportional to 2,509.55, 3,764.97 and 866.10

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Solution

The fourth proportional to 2,509.55, 3,764.97 and 866.10 is: 1,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.55 : 3,764.97 = 866.10 : x
  2. Step 2: Convert to fraction form
    2,509.55/3,764.97 = 866.10/x
  3. Step 3: Cross multiply
    2,509.55x = 3,764.97 × 866.10
  4. Step 4: Simplify right side
    2,509.55x = 3,260,854.64
  5. Step 5: Solve for x
    x = 3,260,854.64/2,509.55
  6. Step 6: Final answer
    x = 1,299.38

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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.