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Finding the Fourth Proportional to 2,290.26, 3,434.91 and 646.36

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Solution

The fourth proportional to 2,290.26, 3,434.91 and 646.36 is: 969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.26 : 3,434.91 = 646.36 : x
  2. Step 2: Convert to fraction form
    2,290.26/3,434.91 = 646.36/x
  3. Step 3: Cross multiply
    2,290.26x = 3,434.91 × 646.36
  4. Step 4: Simplify right side
    2,290.26x = 2,220,196.74
  5. Step 5: Solve for x
    x = 2,220,196.74/2,290.26
  6. Step 6: Final answer
    x = 969.41

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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.