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Finding the Fourth Proportional to 2,912.08, 4,018.02 and 1,670.08

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Solution

The fourth proportional to 2,912.08, 4,018.02 and 1,670.08 is: 2,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.08 : 4,018.02 = 1,670.08 : x
  2. Step 2: Convert to fraction form
    2,912.08/4,018.02 = 1,670.08/x
  3. Step 3: Cross multiply
    2,912.08x = 4,018.02 × 1,670.08
  4. Step 4: Simplify right side
    2,912.08x = 6,710,414.84
  5. Step 5: Solve for x
    x = 6,710,414.84/2,912.08
  6. Step 6: Final answer
    x = 2,304.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.