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Finding the Fourth Proportional to 1,714.29, 2,365.57 and 968.31

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Solution

The fourth proportional to 1,714.29, 2,365.57 and 968.31 is: 1,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.29 : 2,365.57 = 968.31 : x
  2. Step 2: Convert to fraction form
    1,714.29/2,365.57 = 968.31/x
  3. Step 3: Cross multiply
    1,714.29x = 2,365.57 × 968.31
  4. Step 4: Simplify right side
    1,714.29x = 2,290,605.09
  5. Step 5: Solve for x
    x = 2,290,605.09/1,714.29
  6. Step 6: Final answer
    x = 1,336.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.