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Finding the Fourth Proportional to 1,714.95, 2,576.52 and 1,099.85

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Solution

The fourth proportional to 1,714.95, 2,576.52 and 1,099.85 is: 1,652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.95 : 2,576.52 = 1,099.85 : x
  2. Step 2: Convert to fraction form
    1,714.95/2,576.52 = 1,099.85/x
  3. Step 3: Cross multiply
    1,714.95x = 2,576.52 × 1,099.85
  4. Step 4: Simplify right side
    1,714.95x = 2,833,785.52
  5. Step 5: Solve for x
    x = 2,833,785.52/1,714.95
  6. Step 6: Final answer
    x = 1,652.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.