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Finding the Fourth Proportional to 1,835.47, 2,532.09 and 1,049.06

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Solution

The fourth proportional to 1,835.47, 2,532.09 and 1,049.06 is: 1,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.47 : 2,532.09 = 1,049.06 : x
  2. Step 2: Convert to fraction form
    1,835.47/2,532.09 = 1,049.06/x
  3. Step 3: Cross multiply
    1,835.47x = 2,532.09 × 1,049.06
  4. Step 4: Simplify right side
    1,835.47x = 2,656,324.60
  5. Step 5: Solve for x
    x = 2,656,324.60/1,835.47
  6. Step 6: Final answer
    x = 1,447.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.