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Finding the Fourth Proportional to 2,704.04, 4,056.60 and 972.80

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Solution

The fourth proportional to 2,704.04, 4,056.60 and 972.80 is: 1,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.04 : 4,056.60 = 972.80 : x
  2. Step 2: Convert to fraction form
    2,704.04/4,056.60 = 972.80/x
  3. Step 3: Cross multiply
    2,704.04x = 4,056.60 × 972.80
  4. Step 4: Simplify right side
    2,704.04x = 3,946,260.48
  5. Step 5: Solve for x
    x = 3,946,260.48/2,704.04
  6. Step 6: Final answer
    x = 1,459.39

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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.