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Finding the Fourth Proportional to 2,638.40, 3,959.04 and 1,814.72

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Solution

The fourth proportional to 2,638.40, 3,959.04 and 1,814.72 is: 2,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.40 : 3,959.04 = 1,814.72 : x
  2. Step 2: Convert to fraction form
    2,638.40/3,959.04 = 1,814.72/x
  3. Step 3: Cross multiply
    2,638.40x = 3,959.04 × 1,814.72
  4. Step 4: Simplify right side
    2,638.40x = 7,184,549.07
  5. Step 5: Solve for x
    x = 7,184,549.07/2,638.40
  6. Step 6: Final answer
    x = 2,723.07

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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.