Home / 1,520.86-2,281.66-596.17

Finding the Fourth Proportional to 1,520.86, 2,281.66 and 596.17

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Solution

The fourth proportional to 1,520.86, 2,281.66 and 596.17 is: 894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.86 : 2,281.66 = 596.17 : x
  2. Step 2: Convert to fraction form
    1,520.86/2,281.66 = 596.17/x
  3. Step 3: Cross multiply
    1,520.86x = 2,281.66 × 596.17
  4. Step 4: Simplify right side
    1,520.86x = 1,360,257.24
  5. Step 5: Solve for x
    x = 1,360,257.24/1,520.86
  6. Step 6: Final answer
    x = 894.40

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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.