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Finding the Fourth Proportional to 2,235.51, 3,354.21 and 849.51

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Solution

The fourth proportional to 2,235.51, 3,354.21 and 849.51 is: 1,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.51 : 3,354.21 = 849.51 : x
  2. Step 2: Convert to fraction form
    2,235.51/3,354.21 = 849.51/x
  3. Step 3: Cross multiply
    2,235.51x = 3,354.21 × 849.51
  4. Step 4: Simplify right side
    2,235.51x = 2,849,434.94
  5. Step 5: Solve for x
    x = 2,849,434.94/2,235.51
  6. Step 6: Final answer
    x = 1,274.62

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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.