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Finding the Fourth Proportional to 2,646.99, 3,652.83 and 1,467.99

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Solution

The fourth proportional to 2,646.99, 3,652.83 and 1,467.99 is: 2,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.99 : 3,652.83 = 1,467.99 : x
  2. Step 2: Convert to fraction form
    2,646.99/3,652.83 = 1,467.99/x
  3. Step 3: Cross multiply
    2,646.99x = 3,652.83 × 1,467.99
  4. Step 4: Simplify right side
    2,646.99x = 5,362,317.91
  5. Step 5: Solve for x
    x = 5,362,317.91/2,646.99
  6. Step 6: Final answer
    x = 2,025.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.