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Finding the Fourth Proportional to 2,529.65, 3,794.67 and 970.40

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Solution

The fourth proportional to 2,529.65, 3,794.67 and 970.40 is: 1,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.65 : 3,794.67 = 970.40 : x
  2. Step 2: Convert to fraction form
    2,529.65/3,794.67 = 970.40/x
  3. Step 3: Cross multiply
    2,529.65x = 3,794.67 × 970.40
  4. Step 4: Simplify right side
    2,529.65x = 3,682,328.79
  5. Step 5: Solve for x
    x = 3,682,328.79/2,529.65
  6. Step 6: Final answer
    x = 1,455.67

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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.