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Finding the Fourth Proportional to 2,367.30, 3,548.43 and 1,133.01

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Solution

The fourth proportional to 2,367.30, 3,548.43 and 1,133.01 is: 1,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.30 : 3,548.43 = 1,133.01 : x
  2. Step 2: Convert to fraction form
    2,367.30/3,548.43 = 1,133.01/x
  3. Step 3: Cross multiply
    2,367.30x = 3,548.43 × 1,133.01
  4. Step 4: Simplify right side
    2,367.30x = 4,020,406.67
  5. Step 5: Solve for x
    x = 4,020,406.67/2,367.30
  6. Step 6: Final answer
    x = 1,698.31

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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.