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Finding the Fourth Proportional to 2,984.96, 4,478.12 and 1,670.03

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Solution

The fourth proportional to 2,984.96, 4,478.12 and 1,670.03 is: 2,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.96 : 4,478.12 = 1,670.03 : x
  2. Step 2: Convert to fraction form
    2,984.96/4,478.12 = 1,670.03/x
  3. Step 3: Cross multiply
    2,984.96x = 4,478.12 × 1,670.03
  4. Step 4: Simplify right side
    2,984.96x = 7,478,564.00
  5. Step 5: Solve for x
    x = 7,478,564.00/2,984.96
  6. Step 6: Final answer
    x = 2,505.42

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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.