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Finding the Fourth Proportional to 2,173.38, 3,259.40 and 612.98

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Solution

The fourth proportional to 2,173.38, 3,259.40 and 612.98 is: 919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.38 : 3,259.40 = 612.98 : x
  2. Step 2: Convert to fraction form
    2,173.38/3,259.40 = 612.98/x
  3. Step 3: Cross multiply
    2,173.38x = 3,259.40 × 612.98
  4. Step 4: Simplify right side
    2,173.38x = 1,997,947.01
  5. Step 5: Solve for x
    x = 1,997,947.01/2,173.38
  6. Step 6: Final answer
    x = 919.28

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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.