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Finding the Fourth Proportional to 2,174.68, 3,259.15 and 1,187.93

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Solution

The fourth proportional to 2,174.68, 3,259.15 and 1,187.93 is: 1,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.68 : 3,259.15 = 1,187.93 : x
  2. Step 2: Convert to fraction form
    2,174.68/3,259.15 = 1,187.93/x
  3. Step 3: Cross multiply
    2,174.68x = 3,259.15 × 1,187.93
  4. Step 4: Simplify right side
    2,174.68x = 3,871,647.24
  5. Step 5: Solve for x
    x = 3,871,647.24/2,174.68
  6. Step 6: Final answer
    x = 1,780.33

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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.