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Finding the Fourth Proportional to 1,897.50, 2,613.10 and 1,629.79

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Solution

The fourth proportional to 1,897.50, 2,613.10 and 1,629.79 is: 2,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.50 : 2,613.10 = 1,629.79 : x
  2. Step 2: Convert to fraction form
    1,897.50/2,613.10 = 1,629.79/x
  3. Step 3: Cross multiply
    1,897.50x = 2,613.10 × 1,629.79
  4. Step 4: Simplify right side
    1,897.50x = 4,258,804.25
  5. Step 5: Solve for x
    x = 4,258,804.25/1,897.50
  6. Step 6: Final answer
    x = 2,244.43

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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.