Home / 2,823.53-4,234.06-1,506.98

Finding the Fourth Proportional to 2,823.53, 4,234.06 and 1,506.98

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Solution

The fourth proportional to 2,823.53, 4,234.06 and 1,506.98 is: 2,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.53 : 4,234.06 = 1,506.98 : x
  2. Step 2: Convert to fraction form
    2,823.53/4,234.06 = 1,506.98/x
  3. Step 3: Cross multiply
    2,823.53x = 4,234.06 × 1,506.98
  4. Step 4: Simplify right side
    2,823.53x = 6,380,643.74
  5. Step 5: Solve for x
    x = 6,380,643.74/2,823.53
  6. Step 6: Final answer
    x = 2,259.81

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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.