Home / 1,520.42-2,281.68-595.98

Finding the Fourth Proportional to 1,520.42, 2,281.68 and 595.98

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Solution

The fourth proportional to 1,520.42, 2,281.68 and 595.98 is: 894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.42 : 2,281.68 = 595.98 : x
  2. Step 2: Convert to fraction form
    1,520.42/2,281.68 = 595.98/x
  3. Step 3: Cross multiply
    1,520.42x = 2,281.68 × 595.98
  4. Step 4: Simplify right side
    1,520.42x = 1,359,835.65
  5. Step 5: Solve for x
    x = 1,359,835.65/1,520.42
  6. Step 6: Final answer
    x = 894.38

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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.