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Finding the Fourth Proportional to 1,636.89, 2,258.80 and 973.80

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Solution

The fourth proportional to 1,636.89, 2,258.80 and 973.80 is: 1,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.89 : 2,258.80 = 973.80 : x
  2. Step 2: Convert to fraction form
    1,636.89/2,258.80 = 973.80/x
  3. Step 3: Cross multiply
    1,636.89x = 2,258.80 × 973.80
  4. Step 4: Simplify right side
    1,636.89x = 2,199,619.44
  5. Step 5: Solve for x
    x = 2,199,619.44/1,636.89
  6. Step 6: Final answer
    x = 1,343.78

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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.