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Finding the Fourth Proportional to 1,419.50, 1,958.91 and 896.51

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Solution

The fourth proportional to 1,419.50, 1,958.91 and 896.51 is: 1,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.50 : 1,958.91 = 896.51 : x
  2. Step 2: Convert to fraction form
    1,419.50/1,958.91 = 896.51/x
  3. Step 3: Cross multiply
    1,419.50x = 1,958.91 × 896.51
  4. Step 4: Simplify right side
    1,419.50x = 1,756,182.40
  5. Step 5: Solve for x
    x = 1,756,182.40/1,419.50
  6. Step 6: Final answer
    x = 1,237.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.