Home / 2,025.49-3,038.24-564.45

Finding the Fourth Proportional to 2,025.49, 3,038.24 and 564.45

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Solution

The fourth proportional to 2,025.49, 3,038.24 and 564.45 is: 846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.49 : 3,038.24 = 564.45 : x
  2. Step 2: Convert to fraction form
    2,025.49/3,038.24 = 564.45/x
  3. Step 3: Cross multiply
    2,025.49x = 3,038.24 × 564.45
  4. Step 4: Simplify right side
    2,025.49x = 1,714,931.75
  5. Step 5: Solve for x
    x = 1,714,931.75/2,025.49
  6. Step 6: Final answer
    x = 846.68

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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.