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Finding the Fourth Proportional to 2,024.83, 3,037.26 and 564.00

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Solution

The fourth proportional to 2,024.83, 3,037.26 and 564.00 is: 846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.83 : 3,037.26 = 564.00 : x
  2. Step 2: Convert to fraction form
    2,024.83/3,037.26 = 564.00/x
  3. Step 3: Cross multiply
    2,024.83x = 3,037.26 × 564.00
  4. Step 4: Simplify right side
    2,024.83x = 1,713,005.37
  5. Step 5: Solve for x
    x = 1,713,005.37/2,024.83
  6. Step 6: Final answer
    x = 846.00

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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.