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Finding the Fourth Proportional to 1,613.73, 2,418.88 and 1,026.88

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Solution

The fourth proportional to 1,613.73, 2,418.88 and 1,026.88 is: 1,539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.73 : 2,418.88 = 1,026.88 : x
  2. Step 2: Convert to fraction form
    1,613.73/2,418.88 = 1,026.88/x
  3. Step 3: Cross multiply
    1,613.73x = 2,418.88 × 1,026.88
  4. Step 4: Simplify right side
    1,613.73x = 2,483,894.36
  5. Step 5: Solve for x
    x = 2,483,894.36/1,613.73
  6. Step 6: Final answer
    x = 1,539.23

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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.