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Finding the Fourth Proportional to 1,619.23, 2,428.06 and 741.46

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Solution

The fourth proportional to 1,619.23, 2,428.06 and 741.46 is: 1,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.23 : 2,428.06 = 741.46 : x
  2. Step 2: Convert to fraction form
    1,619.23/2,428.06 = 741.46/x
  3. Step 3: Cross multiply
    1,619.23x = 2,428.06 × 741.46
  4. Step 4: Simplify right side
    1,619.23x = 1,800,293.52
  5. Step 5: Solve for x
    x = 1,800,293.52/1,619.23
  6. Step 6: Final answer
    x = 1,111.82

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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.