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Finding the Fourth Proportional to 2,509.61, 3,761.00 and 1,467.41

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Solution

The fourth proportional to 2,509.61, 3,761.00 and 1,467.41 is: 2,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.61 : 3,761.00 = 1,467.41 : x
  2. Step 2: Convert to fraction form
    2,509.61/3,761.00 = 1,467.41/x
  3. Step 3: Cross multiply
    2,509.61x = 3,761.00 × 1,467.41
  4. Step 4: Simplify right side
    2,509.61x = 5,518,921.67
  5. Step 5: Solve for x
    x = 5,518,921.67/2,509.61
  6. Step 6: Final answer
    x = 2,199.12

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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.