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Finding the Fourth Proportional to 2,423.01, 3,636.33 and 942.47

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Solution

The fourth proportional to 2,423.01, 3,636.33 and 942.47 is: 1,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.01 : 3,636.33 = 942.47 : x
  2. Step 2: Convert to fraction form
    2,423.01/3,636.33 = 942.47/x
  3. Step 3: Cross multiply
    2,423.01x = 3,636.33 × 942.47
  4. Step 4: Simplify right side
    2,423.01x = 3,427,110.22
  5. Step 5: Solve for x
    x = 3,427,110.22/2,423.01
  6. Step 6: Final answer
    x = 1,414.40

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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.