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Finding the Fourth Proportional to 2,969.86, 4,098.39 and 1,775.39

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Solution

The fourth proportional to 2,969.86, 4,098.39 and 1,775.39 is: 2,450.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.86 : 4,098.39 = 1,775.39 : x
  2. Step 2: Convert to fraction form
    2,969.86/4,098.39 = 1,775.39/x
  3. Step 3: Cross multiply
    2,969.86x = 4,098.39 × 1,775.39
  4. Step 4: Simplify right side
    2,969.86x = 7,276,240.62
  5. Step 5: Solve for x
    x = 7,276,240.62/2,969.86
  6. Step 6: Final answer
    x = 2,450.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.