Home / 2,026.42-3,038.92-565.18

Finding the Fourth Proportional to 2,026.42, 3,038.92 and 565.18

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Solution

The fourth proportional to 2,026.42, 3,038.92 and 565.18 is: 847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.42 : 3,038.92 = 565.18 : x
  2. Step 2: Convert to fraction form
    2,026.42/3,038.92 = 565.18/x
  3. Step 3: Cross multiply
    2,026.42x = 3,038.92 × 565.18
  4. Step 4: Simplify right side
    2,026.42x = 1,717,527.80
  5. Step 5: Solve for x
    x = 1,717,527.80/2,026.42
  6. Step 6: Final answer
    x = 847.57

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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.