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Finding the Fourth Proportional to 2,673.86, 4,008.00 and 1,006.84

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Solution

The fourth proportional to 2,673.86, 4,008.00 and 1,006.84 is: 1,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.86 : 4,008.00 = 1,006.84 : x
  2. Step 2: Convert to fraction form
    2,673.86/4,008.00 = 1,006.84/x
  3. Step 3: Cross multiply
    2,673.86x = 4,008.00 × 1,006.84
  4. Step 4: Simplify right side
    2,673.86x = 4,035,389.65
  5. Step 5: Solve for x
    x = 4,035,389.65/2,673.86
  6. Step 6: Final answer
    x = 1,509.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.