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Finding the Fourth Proportional to 2,152.39, 3,230.60 and 1,057.54

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Solution

The fourth proportional to 2,152.39, 3,230.60 and 1,057.54 is: 1,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.39 : 3,230.60 = 1,057.54 : x
  2. Step 2: Convert to fraction form
    2,152.39/3,230.60 = 1,057.54/x
  3. Step 3: Cross multiply
    2,152.39x = 3,230.60 × 1,057.54
  4. Step 4: Simplify right side
    2,152.39x = 3,416,483.29
  5. Step 5: Solve for x
    x = 3,416,483.29/2,152.39
  6. Step 6: Final answer
    x = 1,587.30

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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.