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Finding the Fourth Proportional to 2,677.06, 4,015.26 and 729.40

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Solution

The fourth proportional to 2,677.06, 4,015.26 and 729.40 is: 1,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.06 : 4,015.26 = 729.40 : x
  2. Step 2: Convert to fraction form
    2,677.06/4,015.26 = 729.40/x
  3. Step 3: Cross multiply
    2,677.06x = 4,015.26 × 729.40
  4. Step 4: Simplify right side
    2,677.06x = 2,928,730.64
  5. Step 5: Solve for x
    x = 2,928,730.64/2,677.06
  6. Step 6: Final answer
    x = 1,094.01

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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.