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Finding the Fourth Proportional to 2,100.46, 3,150.60 and 713.74

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Solution

The fourth proportional to 2,100.46, 3,150.60 and 713.74 is: 1,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.46 : 3,150.60 = 713.74 : x
  2. Step 2: Convert to fraction form
    2,100.46/3,150.60 = 713.74/x
  3. Step 3: Cross multiply
    2,100.46x = 3,150.60 × 713.74
  4. Step 4: Simplify right side
    2,100.46x = 2,248,709.24
  5. Step 5: Solve for x
    x = 2,248,709.24/2,100.46
  6. Step 6: Final answer
    x = 1,070.58

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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.