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Finding the Fourth Proportional to 1,714.20, 2,365.60 and 968.16

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Solution

The fourth proportional to 1,714.20, 2,365.60 and 968.16 is: 1,336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.20 : 2,365.60 = 968.16 : x
  2. Step 2: Convert to fraction form
    1,714.20/2,365.60 = 968.16/x
  3. Step 3: Cross multiply
    1,714.20x = 2,365.60 × 968.16
  4. Step 4: Simplify right side
    1,714.20x = 2,290,279.30
  5. Step 5: Solve for x
    x = 2,290,279.30/1,714.20
  6. Step 6: Final answer
    x = 1,336.06

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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.