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Finding the Fourth Proportional to 2,024.99, 3,037.49 and 564.15

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Solution

The fourth proportional to 2,024.99, 3,037.49 and 564.15 is: 846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.99 : 3,037.49 = 564.15 : x
  2. Step 2: Convert to fraction form
    2,024.99/3,037.49 = 564.15/x
  3. Step 3: Cross multiply
    2,024.99x = 3,037.49 × 564.15
  4. Step 4: Simplify right side
    2,024.99x = 1,713,599.98
  5. Step 5: Solve for x
    x = 1,713,599.98/2,024.99
  6. Step 6: Final answer
    x = 846.23

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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.