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Finding the Fourth Proportional to 2,467.76, 3,707.10 and 2,106.90

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Solution

The fourth proportional to 2,467.76, 3,707.10 and 2,106.90 is: 3,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.76 : 3,707.10 = 2,106.90 : x
  2. Step 2: Convert to fraction form
    2,467.76/3,707.10 = 2,106.90/x
  3. Step 3: Cross multiply
    2,467.76x = 3,707.10 × 2,106.90
  4. Step 4: Simplify right side
    2,467.76x = 7,810,488.99
  5. Step 5: Solve for x
    x = 7,810,488.99/2,467.76
  6. Step 6: Final answer
    x = 3,165.02

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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.