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Finding the Fourth Proportional to 1,419.94, 2,134.77 and 1,313.02

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Solution

The fourth proportional to 1,419.94, 2,134.77 and 1,313.02 is: 1,974.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.94 : 2,134.77 = 1,313.02 : x
  2. Step 2: Convert to fraction form
    1,419.94/2,134.77 = 1,313.02/x
  3. Step 3: Cross multiply
    1,419.94x = 2,134.77 × 1,313.02
  4. Step 4: Simplify right side
    1,419.94x = 2,802,995.71
  5. Step 5: Solve for x
    x = 2,802,995.71/1,419.94
  6. Step 6: Final answer
    x = 1,974.02

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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.