Home / 1,406.19-2,108.84-584.03

Finding the Fourth Proportional to 1,406.19, 2,108.84 and 584.03

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Solution

The fourth proportional to 1,406.19, 2,108.84 and 584.03 is: 875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.19 : 2,108.84 = 584.03 : x
  2. Step 2: Convert to fraction form
    1,406.19/2,108.84 = 584.03/x
  3. Step 3: Cross multiply
    1,406.19x = 2,108.84 × 584.03
  4. Step 4: Simplify right side
    1,406.19x = 1,231,612.36
  5. Step 5: Solve for x
    x = 1,231,612.36/1,406.19
  6. Step 6: Final answer
    x = 875.85

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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.