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Finding the Fourth Proportional to 1,561.21, 2,154.60 and 898.09

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Solution

The fourth proportional to 1,561.21, 2,154.60 and 898.09 is: 1,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.21 : 2,154.60 = 898.09 : x
  2. Step 2: Convert to fraction form
    1,561.21/2,154.60 = 898.09/x
  3. Step 3: Cross multiply
    1,561.21x = 2,154.60 × 898.09
  4. Step 4: Simplify right side
    1,561.21x = 1,935,019.33
  5. Step 5: Solve for x
    x = 1,935,019.33/1,561.21
  6. Step 6: Final answer
    x = 1,239.44

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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.