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Finding the Fourth Proportional to 1,833.92, 2,750.31 and 601.06

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Solution

The fourth proportional to 1,833.92, 2,750.31 and 601.06 is: 901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.92 : 2,750.31 = 601.06 : x
  2. Step 2: Convert to fraction form
    1,833.92/2,750.31 = 601.06/x
  3. Step 3: Cross multiply
    1,833.92x = 2,750.31 × 601.06
  4. Step 4: Simplify right side
    1,833.92x = 1,653,087.58
  5. Step 5: Solve for x
    x = 1,653,087.58/1,833.92
  6. Step 6: Final answer
    x = 901.40

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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.