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Finding the Fourth Proportional to 2,378.07, 3,567.45 and 734.76

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Solution

The fourth proportional to 2,378.07, 3,567.45 and 734.76 is: 1,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.07 : 3,567.45 = 734.76 : x
  2. Step 2: Convert to fraction form
    2,378.07/3,567.45 = 734.76/x
  3. Step 3: Cross multiply
    2,378.07x = 3,567.45 × 734.76
  4. Step 4: Simplify right side
    2,378.07x = 2,621,219.56
  5. Step 5: Solve for x
    x = 2,621,219.56/2,378.07
  6. Step 6: Final answer
    x = 1,102.25

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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.