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Finding the Fourth Proportional to 2,970.09, 4,453.11 and 1,409.22

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Solution

The fourth proportional to 2,970.09, 4,453.11 and 1,409.22 is: 2,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.09 : 4,453.11 = 1,409.22 : x
  2. Step 2: Convert to fraction form
    2,970.09/4,453.11 = 1,409.22/x
  3. Step 3: Cross multiply
    2,970.09x = 4,453.11 × 1,409.22
  4. Step 4: Simplify right side
    2,970.09x = 6,275,411.67
  5. Step 5: Solve for x
    x = 6,275,411.67/2,970.09
  6. Step 6: Final answer
    x = 2,112.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.