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Finding the Fourth Proportional to 2,174.34, 3,000.07 and 1,289.66

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Solution

The fourth proportional to 2,174.34, 3,000.07 and 1,289.66 is: 1,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.34 : 3,000.07 = 1,289.66 : x
  2. Step 2: Convert to fraction form
    2,174.34/3,000.07 = 1,289.66/x
  3. Step 3: Cross multiply
    2,174.34x = 3,000.07 × 1,289.66
  4. Step 4: Simplify right side
    2,174.34x = 3,869,056.89
  5. Step 5: Solve for x
    x = 3,869,056.89/2,174.34
  6. Step 6: Final answer
    x = 1,779.41

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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.