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Finding the Fourth Proportional to 2,904.54, 4,006.71 and 2,018.81

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Solution

The fourth proportional to 2,904.54, 4,006.71 and 2,018.81 is: 2,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.54 : 4,006.71 = 2,018.81 : x
  2. Step 2: Convert to fraction form
    2,904.54/4,006.71 = 2,018.81/x
  3. Step 3: Cross multiply
    2,904.54x = 4,006.71 × 2,018.81
  4. Step 4: Simplify right side
    2,904.54x = 8,088,766.18
  5. Step 5: Solve for x
    x = 8,088,766.18/2,904.54
  6. Step 6: Final answer
    x = 2,784.87

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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.