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Finding the Fourth Proportional to 2,298, 3,168 and 1,636.50

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Solution

The fourth proportional to 2,298, 3,168 and 1,636.50 is: 2,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298 : 3,168 = 1,636.50 : x
  2. Step 2: Convert to fraction form
    2,298/3,168 = 1,636.50/x
  3. Step 3: Cross multiply
    2,298x = 3,168 × 1,636.50
  4. Step 4: Simplify right side
    2,298x = 5,184,432
  5. Step 5: Solve for x
    x = 5,184,432/2,298
  6. Step 6: Final answer
    x = 2,256.06

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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.