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Finding the Fourth Proportional to 1,784.88, 2,689.52 and 1,467.36

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Solution

The fourth proportional to 1,784.88, 2,689.52 and 1,467.36 is: 2,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.88 : 2,689.52 = 1,467.36 : x
  2. Step 2: Convert to fraction form
    1,784.88/2,689.52 = 1,467.36/x
  3. Step 3: Cross multiply
    1,784.88x = 2,689.52 × 1,467.36
  4. Step 4: Simplify right side
    1,784.88x = 3,946,486.73
  5. Step 5: Solve for x
    x = 3,946,486.73/1,784.88
  6. Step 6: Final answer
    x = 2,211.07

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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.