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Finding the Fourth Proportional to 3,005.50, 4,148.07 and 2,178.94

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Solution

The fourth proportional to 3,005.50, 4,148.07 and 2,178.94 is: 3,007.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.50 : 4,148.07 = 2,178.94 : x
  2. Step 2: Convert to fraction form
    3,005.50/4,148.07 = 2,178.94/x
  3. Step 3: Cross multiply
    3,005.50x = 4,148.07 × 2,178.94
  4. Step 4: Simplify right side
    3,005.50x = 9,038,395.65
  5. Step 5: Solve for x
    x = 9,038,395.65/3,005.50
  6. Step 6: Final answer
    x = 3,007.29

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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.