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Finding the Fourth Proportional to 2,969, 4,097.22 and 1,710.44

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Solution

The fourth proportional to 2,969, 4,097.22 and 1,710.44 is: 2,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969 : 4,097.22 = 1,710.44 : x
  2. Step 2: Convert to fraction form
    2,969/4,097.22 = 1,710.44/x
  3. Step 3: Cross multiply
    2,969x = 4,097.22 × 1,710.44
  4. Step 4: Simplify right side
    2,969x = 7,008,048.98
  5. Step 5: Solve for x
    x = 7,008,048.98/2,969
  6. Step 6: Final answer
    x = 2,360.41

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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.