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Finding the Fourth Proportional to 1,638.11, 2,260.23 and 929.88

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Solution

The fourth proportional to 1,638.11, 2,260.23 and 929.88 is: 1,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.11 : 2,260.23 = 929.88 : x
  2. Step 2: Convert to fraction form
    1,638.11/2,260.23 = 929.88/x
  3. Step 3: Cross multiply
    1,638.11x = 2,260.23 × 929.88
  4. Step 4: Simplify right side
    1,638.11x = 2,101,742.67
  5. Step 5: Solve for x
    x = 2,101,742.67/1,638.11
  6. Step 6: Final answer
    x = 1,283.03

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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.