Home / 2,025.84-3,038.40-565.14

Finding the Fourth Proportional to 2,025.84, 3,038.40 and 565.14

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Solution

The fourth proportional to 2,025.84, 3,038.40 and 565.14 is: 847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.84 : 3,038.40 = 565.14 : x
  2. Step 2: Convert to fraction form
    2,025.84/3,038.40 = 565.14/x
  3. Step 3: Cross multiply
    2,025.84x = 3,038.40 × 565.14
  4. Step 4: Simplify right side
    2,025.84x = 1,717,121.38
  5. Step 5: Solve for x
    x = 1,717,121.38/2,025.84
  6. Step 6: Final answer
    x = 847.61

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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.