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Finding the Fourth Proportional to 3,032.92, 4,186.74 and 1,914.48

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Solution

The fourth proportional to 3,032.92, 4,186.74 and 1,914.48 is: 2,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.92 : 4,186.74 = 1,914.48 : x
  2. Step 2: Convert to fraction form
    3,032.92/4,186.74 = 1,914.48/x
  3. Step 3: Cross multiply
    3,032.92x = 4,186.74 × 1,914.48
  4. Step 4: Simplify right side
    3,032.92x = 8,015,423.46
  5. Step 5: Solve for x
    x = 8,015,423.46/3,032.92
  6. Step 6: Final answer
    x = 2,642.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.