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Finding the Fourth Proportional to 2,175.20, 3,259.20 and 2,045.60

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Solution

The fourth proportional to 2,175.20, 3,259.20 and 2,045.60 is: 3,065.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.20 : 3,259.20 = 2,045.60 : x
  2. Step 2: Convert to fraction form
    2,175.20/3,259.20 = 2,045.60/x
  3. Step 3: Cross multiply
    2,175.20x = 3,259.20 × 2,045.60
  4. Step 4: Simplify right side
    2,175.20x = 6,667,019.52
  5. Step 5: Solve for x
    x = 6,667,019.52/2,175.20
  6. Step 6: Final answer
    x = 3,065.01

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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.