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Finding the Fourth Proportional to 2,212.00, 3,319.35 and 913.30

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Solution

The fourth proportional to 2,212.00, 3,319.35 and 913.30 is: 1,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.00 : 3,319.35 = 913.30 : x
  2. Step 2: Convert to fraction form
    2,212.00/3,319.35 = 913.30/x
  3. Step 3: Cross multiply
    2,212.00x = 3,319.35 × 913.30
  4. Step 4: Simplify right side
    2,212.00x = 3,031,550.63
  5. Step 5: Solve for x
    x = 3,031,550.63/2,212.00
  6. Step 6: Final answer
    x = 1,370.50

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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.