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Finding the Fourth Proportional to 3,133.90, 4,698.54 and 1,901.08

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Solution

The fourth proportional to 3,133.90, 4,698.54 and 1,901.08 is: 2,850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.90 : 4,698.54 = 1,901.08 : x
  2. Step 2: Convert to fraction form
    3,133.90/4,698.54 = 1,901.08/x
  3. Step 3: Cross multiply
    3,133.90x = 4,698.54 × 1,901.08
  4. Step 4: Simplify right side
    3,133.90x = 8,932,300.42
  5. Step 5: Solve for x
    x = 8,932,300.42/3,133.90
  6. Step 6: Final answer
    x = 2,850.22

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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.