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Finding the Fourth Proportional to 1,636.92, 2,257.98 and 1,047.24

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Solution

The fourth proportional to 1,636.92, 2,257.98 and 1,047.24 is: 1,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.92 : 2,257.98 = 1,047.24 : x
  2. Step 2: Convert to fraction form
    1,636.92/2,257.98 = 1,047.24/x
  3. Step 3: Cross multiply
    1,636.92x = 2,257.98 × 1,047.24
  4. Step 4: Simplify right side
    1,636.92x = 2,364,646.98
  5. Step 5: Solve for x
    x = 2,364,646.98/1,636.92
  6. Step 6: Final answer
    x = 1,444.57

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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.