Home / 1,589.16-2,384.82-1,102.68

Finding the Fourth Proportional to 1,589.16, 2,384.82 and 1,102.68

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Solution

The fourth proportional to 1,589.16, 2,384.82 and 1,102.68 is: 1,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.16 : 2,384.82 = 1,102.68 : x
  2. Step 2: Convert to fraction form
    1,589.16/2,384.82 = 1,102.68/x
  3. Step 3: Cross multiply
    1,589.16x = 2,384.82 × 1,102.68
  4. Step 4: Simplify right side
    1,589.16x = 2,629,693.32
  5. Step 5: Solve for x
    x = 2,629,693.32/1,589.16
  6. Step 6: Final answer
    x = 1,654.77

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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.