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Finding the Fourth Proportional to 2,140.40, 2,953.84 and 1,244.14

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Solution

The fourth proportional to 2,140.40, 2,953.84 and 1,244.14 is: 1,716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.40 : 2,953.84 = 1,244.14 : x
  2. Step 2: Convert to fraction form
    2,140.40/2,953.84 = 1,244.14/x
  3. Step 3: Cross multiply
    2,140.40x = 2,953.84 × 1,244.14
  4. Step 4: Simplify right side
    2,140.40x = 3,674,990.50
  5. Step 5: Solve for x
    x = 3,674,990.50/2,140.40
  6. Step 6: Final answer
    x = 1,716.96

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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.