Home / 1,682.12-2,522.54-586.19

Finding the Fourth Proportional to 1,682.12, 2,522.54 and 586.19

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Solution

The fourth proportional to 1,682.12, 2,522.54 and 586.19 is: 879.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.12 : 2,522.54 = 586.19 : x
  2. Step 2: Convert to fraction form
    1,682.12/2,522.54 = 586.19/x
  3. Step 3: Cross multiply
    1,682.12x = 2,522.54 × 586.19
  4. Step 4: Simplify right side
    1,682.12x = 1,478,695.49
  5. Step 5: Solve for x
    x = 1,478,695.49/1,682.12
  6. Step 6: Final answer
    x = 879.07

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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.