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Finding the Fourth Proportional to 2,152.53, 3,231.95 and 1,328.40

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Solution

The fourth proportional to 2,152.53, 3,231.95 and 1,328.40 is: 1,994.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.53 : 3,231.95 = 1,328.40 : x
  2. Step 2: Convert to fraction form
    2,152.53/3,231.95 = 1,328.40/x
  3. Step 3: Cross multiply
    2,152.53x = 3,231.95 × 1,328.40
  4. Step 4: Simplify right side
    2,152.53x = 4,293,315.74
  5. Step 5: Solve for x
    x = 4,293,315.74/2,152.53
  6. Step 6: Final answer
    x = 1,994.54

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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.