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Finding the Fourth Proportional to 3,254.34, 4,907.05 and 2,982.18

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Solution

The fourth proportional to 3,254.34, 4,907.05 and 2,982.18 is: 4,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.34 : 4,907.05 = 2,982.18 : x
  2. Step 2: Convert to fraction form
    3,254.34/4,907.05 = 2,982.18/x
  3. Step 3: Cross multiply
    3,254.34x = 4,907.05 × 2,982.18
  4. Step 4: Simplify right side
    3,254.34x = 14,633,706.37
  5. Step 5: Solve for x
    x = 14,633,706.37/3,254.34
  6. Step 6: Final answer
    x = 4,496.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.