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Finding the Fourth Proportional to 3,097.43, 4,647.80 and 1,454.00

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Solution

The fourth proportional to 3,097.43, 4,647.80 and 1,454.00 is: 2,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.43 : 4,647.80 = 1,454.00 : x
  2. Step 2: Convert to fraction form
    3,097.43/4,647.80 = 1,454.00/x
  3. Step 3: Cross multiply
    3,097.43x = 4,647.80 × 1,454.00
  4. Step 4: Simplify right side
    3,097.43x = 6,757,881.60
  5. Step 5: Solve for x
    x = 6,757,881.60/3,097.43
  6. Step 6: Final answer
    x = 2,181.77

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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.