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Finding the Fourth Proportional to 2,124.15, 3,186.76 and 969.63

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Solution

The fourth proportional to 2,124.15, 3,186.76 and 969.63 is: 1,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.15 : 3,186.76 = 969.63 : x
  2. Step 2: Convert to fraction form
    2,124.15/3,186.76 = 969.63/x
  3. Step 3: Cross multiply
    2,124.15x = 3,186.76 × 969.63
  4. Step 4: Simplify right side
    2,124.15x = 3,089,978.10
  5. Step 5: Solve for x
    x = 3,089,978.10/2,124.15
  6. Step 6: Final answer
    x = 1,454.69

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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.