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Finding the Fourth Proportional to 2,946.44, 4,415.98 and 1,486

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Solution

The fourth proportional to 2,946.44, 4,415.98 and 1,486 is: 2,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.44 : 4,415.98 = 1,486 : x
  2. Step 2: Convert to fraction form
    2,946.44/4,415.98 = 1,486/x
  3. Step 3: Cross multiply
    2,946.44x = 4,415.98 × 1,486
  4. Step 4: Simplify right side
    2,946.44x = 6,562,146.28
  5. Step 5: Solve for x
    x = 6,562,146.28/2,946.44
  6. Step 6: Final answer
    x = 2,227.14

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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.