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Finding the Fourth Proportional to 3,012.03, 4,516.20 and 1,970.76

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Solution

The fourth proportional to 3,012.03, 4,516.20 and 1,970.76 is: 2,954.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.03 : 4,516.20 = 1,970.76 : x
  2. Step 2: Convert to fraction form
    3,012.03/4,516.20 = 1,970.76/x
  3. Step 3: Cross multiply
    3,012.03x = 4,516.20 × 1,970.76
  4. Step 4: Simplify right side
    3,012.03x = 8,900,346.31
  5. Step 5: Solve for x
    x = 8,900,346.31/3,012.03
  6. Step 6: Final answer
    x = 2,954.93

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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.