Home / 1,416.82-2,125.31-595.13

Finding the Fourth Proportional to 1,416.82, 2,125.31 and 595.13

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Solution

The fourth proportional to 1,416.82, 2,125.31 and 595.13 is: 892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.82 : 2,125.31 = 595.13 : x
  2. Step 2: Convert to fraction form
    1,416.82/2,125.31 = 595.13/x
  3. Step 3: Cross multiply
    1,416.82x = 2,125.31 × 595.13
  4. Step 4: Simplify right side
    1,416.82x = 1,264,835.74
  5. Step 5: Solve for x
    x = 1,264,835.74/1,416.82
  6. Step 6: Final answer
    x = 892.73

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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.