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Finding the Fourth Proportional to 1,729.27, 2,590.80 and 948.43

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Solution

The fourth proportional to 1,729.27, 2,590.80 and 948.43 is: 1,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.27 : 2,590.80 = 948.43 : x
  2. Step 2: Convert to fraction form
    1,729.27/2,590.80 = 948.43/x
  3. Step 3: Cross multiply
    1,729.27x = 2,590.80 × 948.43
  4. Step 4: Simplify right side
    1,729.27x = 2,457,192.44
  5. Step 5: Solve for x
    x = 2,457,192.44/1,729.27
  6. Step 6: Final answer
    x = 1,420.94

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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.