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Finding the Fourth Proportional to 2,946.50, 4,419.78 and 972.26

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Solution

The fourth proportional to 2,946.50, 4,419.78 and 972.26 is: 1,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.50 : 4,419.78 = 972.26 : x
  2. Step 2: Convert to fraction form
    2,946.50/4,419.78 = 972.26/x
  3. Step 3: Cross multiply
    2,946.50x = 4,419.78 × 972.26
  4. Step 4: Simplify right side
    2,946.50x = 4,297,175.30
  5. Step 5: Solve for x
    x = 4,297,175.30/2,946.50
  6. Step 6: Final answer
    x = 1,458.40

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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.