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Finding the Fourth Proportional to 2,174.18, 2,999.63 and 1,388.68

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Solution

The fourth proportional to 2,174.18, 2,999.63 and 1,388.68 is: 1,915.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.18 : 2,999.63 = 1,388.68 : x
  2. Step 2: Convert to fraction form
    2,174.18/2,999.63 = 1,388.68/x
  3. Step 3: Cross multiply
    2,174.18x = 2,999.63 × 1,388.68
  4. Step 4: Simplify right side
    2,174.18x = 4,165,522.16
  5. Step 5: Solve for x
    x = 4,165,522.16/2,174.18
  6. Step 6: Final answer
    x = 1,915.91

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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.