Home / 1,522.08-2,281.14-596.76

Finding the Fourth Proportional to 1,522.08, 2,281.14 and 596.76

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Solution

The fourth proportional to 1,522.08, 2,281.14 and 596.76 is: 894.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.08 : 2,281.14 = 596.76 : x
  2. Step 2: Convert to fraction form
    1,522.08/2,281.14 = 596.76/x
  3. Step 3: Cross multiply
    1,522.08x = 2,281.14 × 596.76
  4. Step 4: Simplify right side
    1,522.08x = 1,361,293.11
  5. Step 5: Solve for x
    x = 1,361,293.11/1,522.08
  6. Step 6: Final answer
    x = 894.36

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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.