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Finding the Fourth Proportional to 2,269.84, 3,405.98 and 2,104.60

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Solution

The fourth proportional to 2,269.84, 3,405.98 and 2,104.60 is: 3,158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.84 : 3,405.98 = 2,104.60 : x
  2. Step 2: Convert to fraction form
    2,269.84/3,405.98 = 2,104.60/x
  3. Step 3: Cross multiply
    2,269.84x = 3,405.98 × 2,104.60
  4. Step 4: Simplify right side
    2,269.84x = 7,168,225.51
  5. Step 5: Solve for x
    x = 7,168,225.51/2,269.84
  6. Step 6: Final answer
    x = 3,158.03

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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.