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Finding the Fourth Proportional to 2,336.04, 3,504.98 and 874.86

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Solution

The fourth proportional to 2,336.04, 3,504.98 and 874.86 is: 1,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.04 : 3,504.98 = 874.86 : x
  2. Step 2: Convert to fraction form
    2,336.04/3,504.98 = 874.86/x
  3. Step 3: Cross multiply
    2,336.04x = 3,504.98 × 874.86
  4. Step 4: Simplify right side
    2,336.04x = 3,066,366.80
  5. Step 5: Solve for x
    x = 3,066,366.80/2,336.04
  6. Step 6: Final answer
    x = 1,312.63

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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.