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Finding the Fourth Proportional to 2,427.66, 3,638.00 and 1,040.63

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Solution

The fourth proportional to 2,427.66, 3,638.00 and 1,040.63 is: 1,559.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.66 : 3,638.00 = 1,040.63 : x
  2. Step 2: Convert to fraction form
    2,427.66/3,638.00 = 1,040.63/x
  3. Step 3: Cross multiply
    2,427.66x = 3,638.00 × 1,040.63
  4. Step 4: Simplify right side
    2,427.66x = 3,785,788.55
  5. Step 5: Solve for x
    x = 3,785,788.55/2,427.66
  6. Step 6: Final answer
    x = 1,559.44

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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.