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Finding the Fourth Proportional to 1,478.50, 2,040.60 and 857.50

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Solution

The fourth proportional to 1,478.50, 2,040.60 and 857.50 is: 1,183.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.50 : 2,040.60 = 857.50 : x
  2. Step 2: Convert to fraction form
    1,478.50/2,040.60 = 857.50/x
  3. Step 3: Cross multiply
    1,478.50x = 2,040.60 × 857.50
  4. Step 4: Simplify right side
    1,478.50x = 1,749,814.50
  5. Step 5: Solve for x
    x = 1,749,814.50/1,478.50
  6. Step 6: Final answer
    x = 1,183.51

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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.