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Finding the Fourth Proportional to 2,174.21, 2,999.13 and 1,388.65

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Solution

The fourth proportional to 2,174.21, 2,999.13 and 1,388.65 is: 1,915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.21 : 2,999.13 = 1,388.65 : x
  2. Step 2: Convert to fraction form
    2,174.21/2,999.13 = 1,388.65/x
  3. Step 3: Cross multiply
    2,174.21x = 2,999.13 × 1,388.65
  4. Step 4: Simplify right side
    2,174.21x = 4,164,741.87
  5. Step 5: Solve for x
    x = 4,164,741.87/2,174.21
  6. Step 6: Final answer
    x = 1,915.52

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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.