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Finding the Fourth Proportional to 1,362.42, 2,026.22 and 1,347.84

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Solution

The fourth proportional to 1,362.42, 2,026.22 and 1,347.84 is: 2,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.42 : 2,026.22 = 1,347.84 : x
  2. Step 2: Convert to fraction form
    1,362.42/2,026.22 = 1,347.84/x
  3. Step 3: Cross multiply
    1,362.42x = 2,026.22 × 1,347.84
  4. Step 4: Simplify right side
    1,362.42x = 2,731,013.63
  5. Step 5: Solve for x
    x = 2,731,013.63/1,362.42
  6. Step 6: Final answer
    x = 2,004.53

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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.