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Finding the Fourth Proportional to 2,492.97, 3,739.46 and 1,466.25

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Solution

The fourth proportional to 2,492.97, 3,739.46 and 1,466.25 is: 2,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.97 : 3,739.46 = 1,466.25 : x
  2. Step 2: Convert to fraction form
    2,492.97/3,739.46 = 1,466.25/x
  3. Step 3: Cross multiply
    2,492.97x = 3,739.46 × 1,466.25
  4. Step 4: Simplify right side
    2,492.97x = 5,482,975.89
  5. Step 5: Solve for x
    x = 5,482,975.89/2,492.97
  6. Step 6: Final answer
    x = 2,199.38

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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.