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Finding the Fourth Proportional to 2,704.78, 4,056.36 and 973

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Solution

The fourth proportional to 2,704.78, 4,056.36 and 973 is: 1,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.78 : 4,056.36 = 973 : x
  2. Step 2: Convert to fraction form
    2,704.78/4,056.36 = 973/x
  3. Step 3: Cross multiply
    2,704.78x = 4,056.36 × 973
  4. Step 4: Simplify right side
    2,704.78x = 3,946,838.28
  5. Step 5: Solve for x
    x = 3,946,838.28/2,704.78
  6. Step 6: Final answer
    x = 1,459.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.