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Finding the Fourth Proportional to 2,614.95, 3,609.74 and 1,672.00

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Solution

The fourth proportional to 2,614.95, 3,609.74 and 1,672.00 is: 2,308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.95 : 3,609.74 = 1,672.00 : x
  2. Step 2: Convert to fraction form
    2,614.95/3,609.74 = 1,672.00/x
  3. Step 3: Cross multiply
    2,614.95x = 3,609.74 × 1,672.00
  4. Step 4: Simplify right side
    2,614.95x = 6,035,480.44
  5. Step 5: Solve for x
    x = 6,035,480.44/2,614.95
  6. Step 6: Final answer
    x = 2,308.07

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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.