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Finding the Fourth Proportional to 2,672.72, 3,688.84 and 1,741.20

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Solution

The fourth proportional to 2,672.72, 3,688.84 and 1,741.20 is: 2,403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.72 : 3,688.84 = 1,741.20 : x
  2. Step 2: Convert to fraction form
    2,672.72/3,688.84 = 1,741.20/x
  3. Step 3: Cross multiply
    2,672.72x = 3,688.84 × 1,741.20
  4. Step 4: Simplify right side
    2,672.72x = 6,423,008.21
  5. Step 5: Solve for x
    x = 6,423,008.21/2,672.72
  6. Step 6: Final answer
    x = 2,403.17

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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.