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Finding the Fourth Proportional to 2,672.32, 3,688 and 1,788.48

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Solution

The fourth proportional to 2,672.32, 3,688 and 1,788.48 is: 2,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.32 : 3,688 = 1,788.48 : x
  2. Step 2: Convert to fraction form
    2,672.32/3,688 = 1,788.48/x
  3. Step 3: Cross multiply
    2,672.32x = 3,688 × 1,788.48
  4. Step 4: Simplify right side
    2,672.32x = 6,595,914.24
  5. Step 5: Solve for x
    x = 6,595,914.24/2,672.32
  6. Step 6: Final answer
    x = 2,468.24

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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.