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Finding the Fourth Proportional to 1,714.10, 2,568.72 and 849.02

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Solution

The fourth proportional to 1,714.10, 2,568.72 and 849.02 is: 1,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.10 : 2,568.72 = 849.02 : x
  2. Step 2: Convert to fraction form
    1,714.10/2,568.72 = 849.02/x
  3. Step 3: Cross multiply
    1,714.10x = 2,568.72 × 849.02
  4. Step 4: Simplify right side
    1,714.10x = 2,180,894.65
  5. Step 5: Solve for x
    x = 2,180,894.65/1,714.10
  6. Step 6: Final answer
    x = 1,272.33

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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.