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Finding the Fourth Proportional to 1,727.96, 2,590.50 and 631.62

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Solution

The fourth proportional to 1,727.96, 2,590.50 and 631.62 is: 946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.96 : 2,590.50 = 631.62 : x
  2. Step 2: Convert to fraction form
    1,727.96/2,590.50 = 631.62/x
  3. Step 3: Cross multiply
    1,727.96x = 2,590.50 × 631.62
  4. Step 4: Simplify right side
    1,727.96x = 1,636,211.61
  5. Step 5: Solve for x
    x = 1,636,211.61/1,727.96
  6. Step 6: Final answer
    x = 946.90

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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.