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Finding the Fourth Proportional to 2,049.96, 3,074.40 and 953.76

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Solution

The fourth proportional to 2,049.96, 3,074.40 and 953.76 is: 1,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.96 : 3,074.40 = 953.76 : x
  2. Step 2: Convert to fraction form
    2,049.96/3,074.40 = 953.76/x
  3. Step 3: Cross multiply
    2,049.96x = 3,074.40 × 953.76
  4. Step 4: Simplify right side
    2,049.96x = 2,932,239.74
  5. Step 5: Solve for x
    x = 2,932,239.74/2,049.96
  6. Step 6: Final answer
    x = 1,430.39

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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.