Home / 1,410.46-2,114.82-589.30

Finding the Fourth Proportional to 1,410.46, 2,114.82 and 589.30

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Solution

The fourth proportional to 1,410.46, 2,114.82 and 589.30 is: 883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.46 : 2,114.82 = 589.30 : x
  2. Step 2: Convert to fraction form
    1,410.46/2,114.82 = 589.30/x
  3. Step 3: Cross multiply
    1,410.46x = 2,114.82 × 589.30
  4. Step 4: Simplify right side
    1,410.46x = 1,246,263.43
  5. Step 5: Solve for x
    x = 1,246,263.43/1,410.46
  6. Step 6: Final answer
    x = 883.59

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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.