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Finding the Fourth Proportional to 2,172.90, 3,259.55 and 612.93

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Solution

The fourth proportional to 2,172.90, 3,259.55 and 612.93 is: 919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.90 : 3,259.55 = 612.93 : x
  2. Step 2: Convert to fraction form
    2,172.90/3,259.55 = 612.93/x
  3. Step 3: Cross multiply
    2,172.90x = 3,259.55 × 612.93
  4. Step 4: Simplify right side
    2,172.90x = 1,997,872.92
  5. Step 5: Solve for x
    x = 1,997,872.92/2,172.90
  6. Step 6: Final answer
    x = 919.45

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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.