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Finding the Fourth Proportional to 1,727.78, 2,590.89 and 494.91

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Solution

The fourth proportional to 1,727.78, 2,590.89 and 494.91 is: 742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.78 : 2,590.89 = 494.91 : x
  2. Step 2: Convert to fraction form
    1,727.78/2,590.89 = 494.91/x
  3. Step 3: Cross multiply
    1,727.78x = 2,590.89 × 494.91
  4. Step 4: Simplify right side
    1,727.78x = 1,282,255.51
  5. Step 5: Solve for x
    x = 1,282,255.51/1,727.78
  6. Step 6: Final answer
    x = 742.14

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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.