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Finding the Fourth Proportional to 2,911.50, 4,018.46 and 1,669.50

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Solution

The fourth proportional to 2,911.50, 4,018.46 and 1,669.50 is: 2,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.50 : 4,018.46 = 1,669.50 : x
  2. Step 2: Convert to fraction form
    2,911.50/4,018.46 = 1,669.50/x
  3. Step 3: Cross multiply
    2,911.50x = 4,018.46 × 1,669.50
  4. Step 4: Simplify right side
    2,911.50x = 6,708,810.62
  5. Step 5: Solve for x
    x = 6,708,810.62/2,911.50
  6. Step 6: Final answer
    x = 2,304.25

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