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Finding the Fourth Proportional to 2,152.47, 3,228.89 and 919.89

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Solution

The fourth proportional to 2,152.47, 3,228.89 and 919.89 is: 1,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.47 : 3,228.89 = 919.89 : x
  2. Step 2: Convert to fraction form
    2,152.47/3,228.89 = 919.89/x
  3. Step 3: Cross multiply
    2,152.47x = 3,228.89 × 919.89
  4. Step 4: Simplify right side
    2,152.47x = 2,970,219.02
  5. Step 5: Solve for x
    x = 2,970,219.02/2,152.47
  6. Step 6: Final answer
    x = 1,379.91

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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.