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Finding the Fourth Proportional to 2,946.36, 4,418.04 and 1,851.50

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Solution

The fourth proportional to 2,946.36, 4,418.04 and 1,851.50 is: 2,776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.36 : 4,418.04 = 1,851.50 : x
  2. Step 2: Convert to fraction form
    2,946.36/4,418.04 = 1,851.50/x
  3. Step 3: Cross multiply
    2,946.36x = 4,418.04 × 1,851.50
  4. Step 4: Simplify right side
    2,946.36x = 8,180,001.06
  5. Step 5: Solve for x
    x = 8,180,001.06/2,946.36
  6. Step 6: Final answer
    x = 2,776.31

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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.