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Finding the Fourth Proportional to 2,969.34, 4,451.06 and 1,406.60

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Solution

The fourth proportional to 2,969.34, 4,451.06 and 1,406.60 is: 2,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.34 : 4,451.06 = 1,406.60 : x
  2. Step 2: Convert to fraction form
    2,969.34/4,451.06 = 1,406.60/x
  3. Step 3: Cross multiply
    2,969.34x = 4,451.06 × 1,406.60
  4. Step 4: Simplify right side
    2,969.34x = 6,260,861.00
  5. Step 5: Solve for x
    x = 6,260,861.00/2,969.34
  6. Step 6: Final answer
    x = 2,108.50

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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.