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Finding the Fourth Proportional to 2,643.15, 3,970.89 and 2,274.10

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Solution

The fourth proportional to 2,643.15, 3,970.89 and 2,274.10 is: 3,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.15 : 3,970.89 = 2,274.10 : x
  2. Step 2: Convert to fraction form
    2,643.15/3,970.89 = 2,274.10/x
  3. Step 3: Cross multiply
    2,643.15x = 3,970.89 × 2,274.10
  4. Step 4: Simplify right side
    2,643.15x = 9,030,200.95
  5. Step 5: Solve for x
    x = 9,030,200.95/2,643.15
  6. Step 6: Final answer
    x = 3,416.45

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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.