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Finding the Fourth Proportional to 1,714.16, 2,367.96 and 1,364.40

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Solution

The fourth proportional to 1,714.16, 2,367.96 and 1,364.40 is: 1,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.16 : 2,367.96 = 1,364.40 : x
  2. Step 2: Convert to fraction form
    1,714.16/2,367.96 = 1,364.40/x
  3. Step 3: Cross multiply
    1,714.16x = 2,367.96 × 1,364.40
  4. Step 4: Simplify right side
    1,714.16x = 3,230,844.62
  5. Step 5: Solve for x
    x = 3,230,844.62/1,714.16
  6. Step 6: Final answer
    x = 1,884.80

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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.