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Finding the Fourth Proportional to 1,635.30, 2,439.95 and 1,419.30

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Solution

The fourth proportional to 1,635.30, 2,439.95 and 1,419.30 is: 2,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.30 : 2,439.95 = 1,419.30 : x
  2. Step 2: Convert to fraction form
    1,635.30/2,439.95 = 1,419.30/x
  3. Step 3: Cross multiply
    1,635.30x = 2,439.95 × 1,419.30
  4. Step 4: Simplify right side
    1,635.30x = 3,463,013.94
  5. Step 5: Solve for x
    x = 3,463,013.94/1,635.30
  6. Step 6: Final answer
    x = 2,117.66

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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.