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Finding the Fourth Proportional to 2,025.30, 3,037.84 and 564.40

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Solution

The fourth proportional to 2,025.30, 3,037.84 and 564.40 is: 846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.30 : 3,037.84 = 564.40 : x
  2. Step 2: Convert to fraction form
    2,025.30/3,037.84 = 564.40/x
  3. Step 3: Cross multiply
    2,025.30x = 3,037.84 × 564.40
  4. Step 4: Simplify right side
    2,025.30x = 1,714,559.28
  5. Step 5: Solve for x
    x = 1,714,559.28/2,025.30
  6. Step 6: Final answer
    x = 846.57

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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.