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Finding the Fourth Proportional to 1,716.26, 2,368.44 and 970.22

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Solution

The fourth proportional to 1,716.26, 2,368.44 and 970.22 is: 1,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.26 : 2,368.44 = 970.22 : x
  2. Step 2: Convert to fraction form
    1,716.26/2,368.44 = 970.22/x
  3. Step 3: Cross multiply
    1,716.26x = 2,368.44 × 970.22
  4. Step 4: Simplify right side
    1,716.26x = 2,297,896.01
  5. Step 5: Solve for x
    x = 2,297,896.01/1,716.26
  6. Step 6: Final answer
    x = 1,338.90

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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.