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Finding the Fourth Proportional to 2,528.94, 3,790.96 and 967.74

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Solution

The fourth proportional to 2,528.94, 3,790.96 and 967.74 is: 1,450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.94 : 3,790.96 = 967.74 : x
  2. Step 2: Convert to fraction form
    2,528.94/3,790.96 = 967.74/x
  3. Step 3: Cross multiply
    2,528.94x = 3,790.96 × 967.74
  4. Step 4: Simplify right side
    2,528.94x = 3,668,663.63
  5. Step 5: Solve for x
    x = 3,668,663.63/2,528.94
  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.