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Finding the Fourth Proportional to 1,835, 2,532.27 and 1,049.02

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Solution

The fourth proportional to 1,835, 2,532.27 and 1,049.02 is: 1,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835 : 2,532.27 = 1,049.02 : x
  2. Step 2: Convert to fraction form
    1,835/2,532.27 = 1,049.02/x
  3. Step 3: Cross multiply
    1,835x = 2,532.27 × 1,049.02
  4. Step 4: Simplify right side
    1,835x = 2,656,401.88
  5. Step 5: Solve for x
    x = 2,656,401.88/1,835
  6. Step 6: Final answer
    x = 1,447.63

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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.