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Finding the Fourth Proportional to 2,849.07, 4,274.21 and 901.23

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Solution

The fourth proportional to 2,849.07, 4,274.21 and 901.23 is: 1,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.07 : 4,274.21 = 901.23 : x
  2. Step 2: Convert to fraction form
    2,849.07/4,274.21 = 901.23/x
  3. Step 3: Cross multiply
    2,849.07x = 4,274.21 × 901.23
  4. Step 4: Simplify right side
    2,849.07x = 3,852,041.77
  5. Step 5: Solve for x
    x = 3,852,041.77/2,849.07
  6. Step 6: Final answer
    x = 1,352.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.