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Finding the Fourth Proportional to 2,445.23, 3,668.18 and 984.26

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Solution

The fourth proportional to 2,445.23, 3,668.18 and 984.26 is: 1,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.23 : 3,668.18 = 984.26 : x
  2. Step 2: Convert to fraction form
    2,445.23/3,668.18 = 984.26/x
  3. Step 3: Cross multiply
    2,445.23x = 3,668.18 × 984.26
  4. Step 4: Simplify right side
    2,445.23x = 3,610,419.58
  5. Step 5: Solve for x
    x = 3,610,419.58/2,445.23
  6. Step 6: Final answer
    x = 1,476.52

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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.