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Finding the Fourth Proportional to 1,419.84, 1,943.76 and 1,410.24

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Solution

The fourth proportional to 1,419.84, 1,943.76 and 1,410.24 is: 1,930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.84 : 1,943.76 = 1,410.24 : x
  2. Step 2: Convert to fraction form
    1,419.84/1,943.76 = 1,410.24/x
  3. Step 3: Cross multiply
    1,419.84x = 1,943.76 × 1,410.24
  4. Step 4: Simplify right side
    1,419.84x = 2,741,168.10
  5. Step 5: Solve for x
    x = 2,741,168.10/1,419.84
  6. Step 6: Final answer
    x = 1,930.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.