Home / 2,025.14-3,037.86-564.30

Finding the Fourth Proportional to 2,025.14, 3,037.86 and 564.30

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Solution

The fourth proportional to 2,025.14, 3,037.86 and 564.30 is: 846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.14 : 3,037.86 = 564.30 : x
  2. Step 2: Convert to fraction form
    2,025.14/3,037.86 = 564.30/x
  3. Step 3: Cross multiply
    2,025.14x = 3,037.86 × 564.30
  4. Step 4: Simplify right side
    2,025.14x = 1,714,264.40
  5. Step 5: Solve for x
    x = 1,714,264.40/2,025.14
  6. Step 6: Final answer
    x = 846.49

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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.