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Finding the Fourth Proportional to 1,714.29, 2,576.47 and 1,423.65

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Solution

The fourth proportional to 1,714.29, 2,576.47 and 1,423.65 is: 2,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.29 : 2,576.47 = 1,423.65 : x
  2. Step 2: Convert to fraction form
    1,714.29/2,576.47 = 1,423.65/x
  3. Step 3: Cross multiply
    1,714.29x = 2,576.47 × 1,423.65
  4. Step 4: Simplify right side
    1,714.29x = 3,667,991.52
  5. Step 5: Solve for x
    x = 3,667,991.52/1,714.29
  6. Step 6: Final answer
    x = 2,139.66

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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.