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Finding the Fourth Proportional to 2,704.56, 4,055.76 and 972.24

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Solution

The fourth proportional to 2,704.56, 4,055.76 and 972.24 is: 1,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.56 : 4,055.76 = 972.24 : x
  2. Step 2: Convert to fraction form
    2,704.56/4,055.76 = 972.24/x
  3. Step 3: Cross multiply
    2,704.56x = 4,055.76 × 972.24
  4. Step 4: Simplify right side
    2,704.56x = 3,943,172.10
  5. Step 5: Solve for x
    x = 3,943,172.10/2,704.56
  6. Step 6: Final answer
    x = 1,457.97

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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.