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Finding the Fourth Proportional to 1,663.69, 2,496.38 and 1,276.18

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Solution

The fourth proportional to 1,663.69, 2,496.38 and 1,276.18 is: 1,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.69 : 2,496.38 = 1,276.18 : x
  2. Step 2: Convert to fraction form
    1,663.69/2,496.38 = 1,276.18/x
  3. Step 3: Cross multiply
    1,663.69x = 2,496.38 × 1,276.18
  4. Step 4: Simplify right side
    1,663.69x = 3,185,830.23
  5. Step 5: Solve for x
    x = 3,185,830.23/1,663.69
  6. Step 6: Final answer
    x = 1,914.92

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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.