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Finding the Fourth Proportional to 2,122.48, 3,159.95 and 2,112.22

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Solution

The fourth proportional to 2,122.48, 3,159.95 and 2,112.22 is: 3,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.48 : 3,159.95 = 2,112.22 : x
  2. Step 2: Convert to fraction form
    2,122.48/3,159.95 = 2,112.22/x
  3. Step 3: Cross multiply
    2,122.48x = 3,159.95 × 2,112.22
  4. Step 4: Simplify right side
    2,122.48x = 6,674,509.59
  5. Step 5: Solve for x
    x = 6,674,509.59/2,122.48
  6. Step 6: Final answer
    x = 3,144.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.