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Finding the Fourth Proportional to 2,029.76, 3,038.71 and 1,835.20

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Solution

The fourth proportional to 2,029.76, 3,038.71 and 1,835.20 is: 2,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.76 : 3,038.71 = 1,835.20 : x
  2. Step 2: Convert to fraction form
    2,029.76/3,038.71 = 1,835.20/x
  3. Step 3: Cross multiply
    2,029.76x = 3,038.71 × 1,835.20
  4. Step 4: Simplify right side
    2,029.76x = 5,576,639.80
  5. Step 5: Solve for x
    x = 5,576,639.80/2,029.76
  6. Step 6: Final answer
    x = 2,747.44

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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.