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Finding the Fourth Proportional to 2,025.01, 3,037.51 and 564.27

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Solution

The fourth proportional to 2,025.01, 3,037.51 and 564.27 is: 846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.01 : 3,037.51 = 564.27 : x
  2. Step 2: Convert to fraction form
    2,025.01/3,037.51 = 564.27/x
  3. Step 3: Cross multiply
    2,025.01x = 3,037.51 × 564.27
  4. Step 4: Simplify right side
    2,025.01x = 1,713,975.77
  5. Step 5: Solve for x
    x = 1,713,975.77/2,025.01
  6. Step 6: Final answer
    x = 846.41

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1.5x scale

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.