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Finding the Fourth Proportional to 3,164.49, 4,746.60 and 1,874.16

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Solution

The fourth proportional to 3,164.49, 4,746.60 and 1,874.16 is: 2,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.49 : 4,746.60 = 1,874.16 : x
  2. Step 2: Convert to fraction form
    3,164.49/4,746.60 = 1,874.16/x
  3. Step 3: Cross multiply
    3,164.49x = 4,746.60 × 1,874.16
  4. Step 4: Simplify right side
    3,164.49x = 8,895,887.86
  5. Step 5: Solve for x
    x = 8,895,887.86/3,164.49
  6. Step 6: Final answer
    x = 2,811.16

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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.