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Finding the Fourth Proportional to 3,014.63, 4,521.91 and 823.35

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Solution

The fourth proportional to 3,014.63, 4,521.91 and 823.35 is: 1,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.63 : 4,521.91 = 823.35 : x
  2. Step 2: Convert to fraction form
    3,014.63/4,521.91 = 823.35/x
  3. Step 3: Cross multiply
    3,014.63x = 4,521.91 × 823.35
  4. Step 4: Simplify right side
    3,014.63x = 3,723,129.50
  5. Step 5: Solve for x
    x = 3,723,129.50/3,014.63
  6. Step 6: Final answer
    x = 1,235.02

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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.