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Finding the Fourth Proportional to 1,638.77, 2,261.33 and 975.49

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Solution

The fourth proportional to 1,638.77, 2,261.33 and 975.49 is: 1,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.77 : 2,261.33 = 975.49 : x
  2. Step 2: Convert to fraction form
    1,638.77/2,261.33 = 975.49/x
  3. Step 3: Cross multiply
    1,638.77x = 2,261.33 × 975.49
  4. Step 4: Simplify right side
    1,638.77x = 2,205,912.89
  5. Step 5: Solve for x
    x = 2,205,912.89/1,638.77
  6. Step 6: Final answer
    x = 1,346.08

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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.