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Finding the Fourth Proportional to 1,714.31, 2,364.29 and 1,184.04

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Solution

The fourth proportional to 1,714.31, 2,364.29 and 1,184.04 is: 1,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.31 : 2,364.29 = 1,184.04 : x
  2. Step 2: Convert to fraction form
    1,714.31/2,364.29 = 1,184.04/x
  3. Step 3: Cross multiply
    1,714.31x = 2,364.29 × 1,184.04
  4. Step 4: Simplify right side
    1,714.31x = 2,799,408.01
  5. Step 5: Solve for x
    x = 2,799,408.01/1,714.31
  6. Step 6: Final answer
    x = 1,632.97

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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.