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Finding the Fourth Proportional to 2,303.95, 3,457.05 and 1,072.22

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Solution

The fourth proportional to 2,303.95, 3,457.05 and 1,072.22 is: 1,608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.95 : 3,457.05 = 1,072.22 : x
  2. Step 2: Convert to fraction form
    2,303.95/3,457.05 = 1,072.22/x
  3. Step 3: Cross multiply
    2,303.95x = 3,457.05 × 1,072.22
  4. Step 4: Simplify right side
    2,303.95x = 3,706,725.34
  5. Step 5: Solve for x
    x = 3,706,725.34/2,303.95
  6. Step 6: Final answer
    x = 1,608.86

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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.