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Finding the Fourth Proportional to 2,672.32, 3,686.40 and 1,788.16

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Solution

The fourth proportional to 2,672.32, 3,686.40 and 1,788.16 is: 2,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.32 : 3,686.40 = 1,788.16 : x
  2. Step 2: Convert to fraction form
    2,672.32/3,686.40 = 1,788.16/x
  3. Step 3: Cross multiply
    2,672.32x = 3,686.40 × 1,788.16
  4. Step 4: Simplify right side
    2,672.32x = 6,591,873.02
  5. Step 5: Solve for x
    x = 6,591,873.02/2,672.32
  6. Step 6: Final answer
    x = 2,466.72

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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.