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Finding the Fourth Proportional to 2,544.76, 3,818.44 and 1,157.92

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Solution

The fourth proportional to 2,544.76, 3,818.44 and 1,157.92 is: 1,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.76 : 3,818.44 = 1,157.92 : x
  2. Step 2: Convert to fraction form
    2,544.76/3,818.44 = 1,157.92/x
  3. Step 3: Cross multiply
    2,544.76x = 3,818.44 × 1,157.92
  4. Step 4: Simplify right side
    2,544.76x = 4,421,448.04
  5. Step 5: Solve for x
    x = 4,421,448.04/2,544.76
  6. Step 6: Final answer
    x = 1,737.47

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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.