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Finding the Fourth Proportional to 2,354.89, 3,532.74 and 968.98

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Solution

The fourth proportional to 2,354.89, 3,532.74 and 968.98 is: 1,453.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.89 : 3,532.74 = 968.98 : x
  2. Step 2: Convert to fraction form
    2,354.89/3,532.74 = 968.98/x
  3. Step 3: Cross multiply
    2,354.89x = 3,532.74 × 968.98
  4. Step 4: Simplify right side
    2,354.89x = 3,423,145.57
  5. Step 5: Solve for x
    x = 3,423,145.57/2,354.89
  6. Step 6: Final answer
    x = 1,453.63

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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.