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Finding the Fourth Proportional to 1,726.85, 2,590.67 and 631.22

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Solution

The fourth proportional to 1,726.85, 2,590.67 and 631.22 is: 946.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.85 : 2,590.67 = 631.22 : x
  2. Step 2: Convert to fraction form
    1,726.85/2,590.67 = 631.22/x
  3. Step 3: Cross multiply
    1,726.85x = 2,590.67 × 631.22
  4. Step 4: Simplify right side
    1,726.85x = 1,635,271.34
  5. Step 5: Solve for x
    x = 1,635,271.34/1,726.85
  6. Step 6: Final answer
    x = 946.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.