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Finding the Fourth Proportional to 2,703.40, 4,055.60 and 948.37

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Solution

The fourth proportional to 2,703.40, 4,055.60 and 948.37 is: 1,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.40 : 4,055.60 = 948.37 : x
  2. Step 2: Convert to fraction form
    2,703.40/4,055.60 = 948.37/x
  3. Step 3: Cross multiply
    2,703.40x = 4,055.60 × 948.37
  4. Step 4: Simplify right side
    2,703.40x = 3,846,209.37
  5. Step 5: Solve for x
    x = 3,846,209.37/2,703.40
  6. Step 6: Final answer
    x = 1,422.73

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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.