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Finding the Fourth Proportional to 1,347.56, 2,019.49 and 1,018.22

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Solution

The fourth proportional to 1,347.56, 2,019.49 and 1,018.22 is: 1,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.56 : 2,019.49 = 1,018.22 : x
  2. Step 2: Convert to fraction form
    1,347.56/2,019.49 = 1,018.22/x
  3. Step 3: Cross multiply
    1,347.56x = 2,019.49 × 1,018.22
  4. Step 4: Simplify right side
    1,347.56x = 2,056,280.02
  5. Step 5: Solve for x
    x = 2,056,280.02/1,347.56
  6. Step 6: Final answer
    x = 1,525.93

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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.