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Finding the Fourth Proportional to 1,419.54, 2,127.26 and 898.08

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Solution

The fourth proportional to 1,419.54, 2,127.26 and 898.08 is: 1,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.54 : 2,127.26 = 898.08 : x
  2. Step 2: Convert to fraction form
    1,419.54/2,127.26 = 898.08/x
  3. Step 3: Cross multiply
    1,419.54x = 2,127.26 × 898.08
  4. Step 4: Simplify right side
    1,419.54x = 1,910,449.66
  5. Step 5: Solve for x
    x = 1,910,449.66/1,419.54
  6. Step 6: Final answer
    x = 1,345.82

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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.