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Finding the Fourth Proportional to 2,509.86, 3,765.04 and 866.52

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Solution

The fourth proportional to 2,509.86, 3,765.04 and 866.52 is: 1,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.86 : 3,765.04 = 866.52 : x
  2. Step 2: Convert to fraction form
    2,509.86/3,765.04 = 866.52/x
  3. Step 3: Cross multiply
    2,509.86x = 3,765.04 × 866.52
  4. Step 4: Simplify right side
    2,509.86x = 3,262,482.46
  5. Step 5: Solve for x
    x = 3,262,482.46/2,509.86
  6. Step 6: Final answer
    x = 1,299.87

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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.