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Finding the Fourth Proportional to 2,509.88, 3,765.13 and 866.80

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Solution

The fourth proportional to 2,509.88, 3,765.13 and 866.80 is: 1,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.88 : 3,765.13 = 866.80 : x
  2. Step 2: Convert to fraction form
    2,509.88/3,765.13 = 866.80/x
  3. Step 3: Cross multiply
    2,509.88x = 3,765.13 × 866.80
  4. Step 4: Simplify right side
    2,509.88x = 3,263,603.10
  5. Step 5: Solve for x
    x = 3,263,603.10/2,509.88
  6. Step 6: Final answer
    x = 1,300.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.