Home / 1,454.40-2,182.14-589.32

Finding the Fourth Proportional to 1,454.40, 2,182.14 and 589.32

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Solution

The fourth proportional to 1,454.40, 2,182.14 and 589.32 is: 884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.40 : 2,182.14 = 589.32 : x
  2. Step 2: Convert to fraction form
    1,454.40/2,182.14 = 589.32/x
  3. Step 3: Cross multiply
    1,454.40x = 2,182.14 × 589.32
  4. Step 4: Simplify right side
    1,454.40x = 1,285,978.74
  5. Step 5: Solve for x
    x = 1,285,978.74/1,454.40
  6. Step 6: Final answer
    x = 884.20

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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.