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Finding the Fourth Proportional to 3,214.13, 4,822.02 and 905.63

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Solution

The fourth proportional to 3,214.13, 4,822.02 and 905.63 is: 1,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.13 : 4,822.02 = 905.63 : x
  2. Step 2: Convert to fraction form
    3,214.13/4,822.02 = 905.63/x
  3. Step 3: Cross multiply
    3,214.13x = 4,822.02 × 905.63
  4. Step 4: Simplify right side
    3,214.13x = 4,366,941.86
  5. Step 5: Solve for x
    x = 4,366,941.86/3,214.13
  6. Step 6: Final answer
    x = 1,358.67

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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.