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Finding the Fourth Proportional to 3,367.50, 4,647.18 and 1,970.28

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Solution

The fourth proportional to 3,367.50, 4,647.18 and 1,970.28 is: 2,719.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.50 : 4,647.18 = 1,970.28 : x
  2. Step 2: Convert to fraction form
    3,367.50/4,647.18 = 1,970.28/x
  3. Step 3: Cross multiply
    3,367.50x = 4,647.18 × 1,970.28
  4. Step 4: Simplify right side
    3,367.50x = 9,156,245.81
  5. Step 5: Solve for x
    x = 9,156,245.81/3,367.50
  6. Step 6: Final answer
    x = 2,719.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.