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Finding the Fourth Proportional to 2,323.98, 3,486.99 and 940.02

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Solution

The fourth proportional to 2,323.98, 3,486.99 and 940.02 is: 1,410.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.98 : 3,486.99 = 940.02 : x
  2. Step 2: Convert to fraction form
    2,323.98/3,486.99 = 940.02/x
  3. Step 3: Cross multiply
    2,323.98x = 3,486.99 × 940.02
  4. Step 4: Simplify right side
    2,323.98x = 3,277,840.34
  5. Step 5: Solve for x
    x = 3,277,840.34/2,323.98
  6. Step 6: Final answer
    x = 1,410.44

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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.