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Finding the Fourth Proportional to 2,293.76, 3,441.26 and 1,636.46

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Solution

The fourth proportional to 2,293.76, 3,441.26 and 1,636.46 is: 2,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.76 : 3,441.26 = 1,636.46 : x
  2. Step 2: Convert to fraction form
    2,293.76/3,441.26 = 1,636.46/x
  3. Step 3: Cross multiply
    2,293.76x = 3,441.26 × 1,636.46
  4. Step 4: Simplify right side
    2,293.76x = 5,631,484.34
  5. Step 5: Solve for x
    x = 5,631,484.34/2,293.76
  6. Step 6: Final answer
    x = 2,455.13

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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.