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Finding the Fourth Proportional to 1,629.50, 2,248.71 and 893.50

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Solution

The fourth proportional to 1,629.50, 2,248.71 and 893.50 is: 1,233.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.50 : 2,248.71 = 893.50 : x
  2. Step 2: Convert to fraction form
    1,629.50/2,248.71 = 893.50/x
  3. Step 3: Cross multiply
    1,629.50x = 2,248.71 × 893.50
  4. Step 4: Simplify right side
    1,629.50x = 2,009,222.39
  5. Step 5: Solve for x
    x = 2,009,222.39/1,629.50
  6. Step 6: Final answer
    x = 1,233.03

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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.