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Finding the Fourth Proportional to 1,453.20, 2,179.80 and 898.35

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Solution

The fourth proportional to 1,453.20, 2,179.80 and 898.35 is: 1,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.20 : 2,179.80 = 898.35 : x
  2. Step 2: Convert to fraction form
    1,453.20/2,179.80 = 898.35/x
  3. Step 3: Cross multiply
    1,453.20x = 2,179.80 × 898.35
  4. Step 4: Simplify right side
    1,453.20x = 1,958,223.33
  5. Step 5: Solve for x
    x = 1,958,223.33/1,453.20
  6. Step 6: Final answer
    x = 1,347.53

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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.