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Finding the Fourth Proportional to 2,062.99, 3,076.12 and 2,037.48

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Solution

The fourth proportional to 2,062.99, 3,076.12 and 2,037.48 is: 3,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.99 : 3,076.12 = 2,037.48 : x
  2. Step 2: Convert to fraction form
    2,062.99/3,076.12 = 2,037.48/x
  3. Step 3: Cross multiply
    2,062.99x = 3,076.12 × 2,037.48
  4. Step 4: Simplify right side
    2,062.99x = 6,267,532.98
  5. Step 5: Solve for x
    x = 6,267,532.98/2,062.99
  6. Step 6: Final answer
    x = 3,038.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.