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Finding the Fourth Proportional to 1,784.63, 2,689.13 and 1,467.11

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Solution

The fourth proportional to 1,784.63, 2,689.13 and 1,467.11 is: 2,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.63 : 2,689.13 = 1,467.11 : x
  2. Step 2: Convert to fraction form
    1,784.63/2,689.13 = 1,467.11/x
  3. Step 3: Cross multiply
    1,784.63x = 2,689.13 × 1,467.11
  4. Step 4: Simplify right side
    1,784.63x = 3,945,249.51
  5. Step 5: Solve for x
    x = 3,945,249.51/1,784.63
  6. Step 6: Final answer
    x = 2,210.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.