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Finding the Fourth Proportional to 3,274.16, 4,911.08 and 1,222

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Solution

The fourth proportional to 3,274.16, 4,911.08 and 1,222 is: 1,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.16 : 4,911.08 = 1,222 : x
  2. Step 2: Convert to fraction form
    3,274.16/4,911.08 = 1,222/x
  3. Step 3: Cross multiply
    3,274.16x = 4,911.08 × 1,222
  4. Step 4: Simplify right side
    3,274.16x = 6,001,339.76
  5. Step 5: Solve for x
    x = 6,001,339.76/3,274.16
  6. Step 6: Final answer
    x = 1,832.94

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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.