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Finding the Fourth Proportional to 2,152.78, 3,232.14 and 1,113.64

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Solution

The fourth proportional to 2,152.78, 3,232.14 and 1,113.64 is: 1,672.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.78 : 3,232.14 = 1,113.64 : x
  2. Step 2: Convert to fraction form
    2,152.78/3,232.14 = 1,113.64/x
  3. Step 3: Cross multiply
    2,152.78x = 3,232.14 × 1,113.64
  4. Step 4: Simplify right side
    2,152.78x = 3,599,440.39
  5. Step 5: Solve for x
    x = 3,599,440.39/2,152.78
  6. Step 6: Final answer
    x = 1,672.00

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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.