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Finding the Fourth Proportional to 2,100.86, 3,150.46 and 713.94

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Solution

The fourth proportional to 2,100.86, 3,150.46 and 713.94 is: 1,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.86 : 3,150.46 = 713.94 : x
  2. Step 2: Convert to fraction form
    2,100.86/3,150.46 = 713.94/x
  3. Step 3: Cross multiply
    2,100.86x = 3,150.46 × 713.94
  4. Step 4: Simplify right side
    2,100.86x = 2,249,239.41
  5. Step 5: Solve for x
    x = 2,249,239.41/2,100.86
  6. Step 6: Final answer
    x = 1,070.63

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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.