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Finding the Fourth Proportional to 2,378.06, 3,567.67 and 734.60

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Solution

The fourth proportional to 2,378.06, 3,567.67 and 734.60 is: 1,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.06 : 3,567.67 = 734.60 : x
  2. Step 2: Convert to fraction form
    2,378.06/3,567.67 = 734.60/x
  3. Step 3: Cross multiply
    2,378.06x = 3,567.67 × 734.60
  4. Step 4: Simplify right side
    2,378.06x = 2,620,814.51
  5. Step 5: Solve for x
    x = 2,620,814.51/2,378.06
  6. Step 6: Final answer
    x = 1,102.08

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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.