Home / 3,314.96-4,964.88-1,584.80

Finding the Fourth Proportional to 3,314.96, 4,964.88 and 1,584.80

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Solution

The fourth proportional to 3,314.96, 4,964.88 and 1,584.80 is: 2,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.96 : 4,964.88 = 1,584.80 : x
  2. Step 2: Convert to fraction form
    3,314.96/4,964.88 = 1,584.80/x
  3. Step 3: Cross multiply
    3,314.96x = 4,964.88 × 1,584.80
  4. Step 4: Simplify right side
    3,314.96x = 7,868,341.82
  5. Step 5: Solve for x
    x = 7,868,341.82/3,314.96
  6. Step 6: Final answer
    x = 2,373.59

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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.