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Finding the Fourth Proportional to 2,096.55, 3,143.93 and 1,055.93

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Solution

The fourth proportional to 2,096.55, 3,143.93 and 1,055.93 is: 1,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.55 : 3,143.93 = 1,055.93 : x
  2. Step 2: Convert to fraction form
    2,096.55/3,143.93 = 1,055.93/x
  3. Step 3: Cross multiply
    2,096.55x = 3,143.93 × 1,055.93
  4. Step 4: Simplify right side
    2,096.55x = 3,319,749.01
  5. Step 5: Solve for x
    x = 3,319,749.01/2,096.55
  6. Step 6: Final answer
    x = 1,583.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.