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Finding the Fourth Proportional to 3,034.76, 4,546.02 and 2,214.76

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Solution

The fourth proportional to 3,034.76, 4,546.02 and 2,214.76 is: 3,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.76 : 4,546.02 = 2,214.76 : x
  2. Step 2: Convert to fraction form
    3,034.76/4,546.02 = 2,214.76/x
  3. Step 3: Cross multiply
    3,034.76x = 4,546.02 × 2,214.76
  4. Step 4: Simplify right side
    3,034.76x = 10,068,343.26
  5. Step 5: Solve for x
    x = 10,068,343.26/3,034.76
  6. Step 6: Final answer
    x = 3,317.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.