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Finding the Fourth Proportional to 2,193.56, 3,026.94 and 1,407.50

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Solution

The fourth proportional to 2,193.56, 3,026.94 and 1,407.50 is: 1,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.56 : 3,026.94 = 1,407.50 : x
  2. Step 2: Convert to fraction form
    2,193.56/3,026.94 = 1,407.50/x
  3. Step 3: Cross multiply
    2,193.56x = 3,026.94 × 1,407.50
  4. Step 4: Simplify right side
    2,193.56x = 4,260,418.05
  5. Step 5: Solve for x
    x = 4,260,418.05/2,193.56
  6. Step 6: Final answer
    x = 1,942.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.