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Finding the Fourth Proportional to 2,741.96, 4,106.48 and 1,815.24

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Solution

The fourth proportional to 2,741.96, 4,106.48 and 1,815.24 is: 2,718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.96 : 4,106.48 = 1,815.24 : x
  2. Step 2: Convert to fraction form
    2,741.96/4,106.48 = 1,815.24/x
  3. Step 3: Cross multiply
    2,741.96x = 4,106.48 × 1,815.24
  4. Step 4: Simplify right side
    2,741.96x = 7,454,246.76
  5. Step 5: Solve for x
    x = 7,454,246.76/2,741.96
  6. Step 6: Final answer
    x = 2,718.58

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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.