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Finding the Fourth Proportional to 2,532.78, 3,803.86 and 2,071.54

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Solution

The fourth proportional to 2,532.78, 3,803.86 and 2,071.54 is: 3,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.78 : 3,803.86 = 2,071.54 : x
  2. Step 2: Convert to fraction form
    2,532.78/3,803.86 = 2,071.54/x
  3. Step 3: Cross multiply
    2,532.78x = 3,803.86 × 2,071.54
  4. Step 4: Simplify right side
    2,532.78x = 7,879,848.14
  5. Step 5: Solve for x
    x = 7,879,848.14/2,532.78
  6. Step 6: Final answer
    x = 3,111.15

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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.