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Finding the Fourth Proportional to 2,289.24, 3,434.00 and 883.67

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Solution

The fourth proportional to 2,289.24, 3,434.00 and 883.67 is: 1,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.24 : 3,434.00 = 883.67 : x
  2. Step 2: Convert to fraction form
    2,289.24/3,434.00 = 883.67/x
  3. Step 3: Cross multiply
    2,289.24x = 3,434.00 × 883.67
  4. Step 4: Simplify right side
    2,289.24x = 3,034,522.26
  5. Step 5: Solve for x
    x = 3,034,522.26/2,289.24
  6. Step 6: Final answer
    x = 1,325.56

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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.