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Finding the Fourth Proportional to 1,726.20, 2,590.20 and 631.32

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Solution

The fourth proportional to 1,726.20, 2,590.20 and 631.32 is: 947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.20 : 2,590.20 = 631.32 : x
  2. Step 2: Convert to fraction form
    1,726.20/2,590.20 = 631.32/x
  3. Step 3: Cross multiply
    1,726.20x = 2,590.20 × 631.32
  4. Step 4: Simplify right side
    1,726.20x = 1,635,245.06
  5. Step 5: Solve for x
    x = 1,635,245.06/1,726.20
  6. Step 6: Final answer
    x = 947.31

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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.