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Finding the Fourth Proportional to 2,610.12, 3,916.93 and 966.68

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Solution

The fourth proportional to 2,610.12, 3,916.93 and 966.68 is: 1,450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.12 : 3,916.93 = 966.68 : x
  2. Step 2: Convert to fraction form
    2,610.12/3,916.93 = 966.68/x
  3. Step 3: Cross multiply
    2,610.12x = 3,916.93 × 966.68
  4. Step 4: Simplify right side
    2,610.12x = 3,786,437.14
  5. Step 5: Solve for x
    x = 3,786,437.14/2,610.12
  6. Step 6: Final answer
    x = 1,450.67

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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.