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Finding the Fourth Proportional to 2,982.95, 4,113.95 and 2,941.94

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Solution

The fourth proportional to 2,982.95, 4,113.95 and 2,941.94 is: 4,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.95 : 4,113.95 = 2,941.94 : x
  2. Step 2: Convert to fraction form
    2,982.95/4,113.95 = 2,941.94/x
  3. Step 3: Cross multiply
    2,982.95x = 4,113.95 × 2,941.94
  4. Step 4: Simplify right side
    2,982.95x = 12,102,994.06
  5. Step 5: Solve for x
    x = 12,102,994.06/2,982.95
  6. Step 6: Final answer
    x = 4,057.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.