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Finding the Fourth Proportional to 2,112.88, 2,915.72 and 1,228.84

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Solution

The fourth proportional to 2,112.88, 2,915.72 and 1,228.84 is: 1,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.88 : 2,915.72 = 1,228.84 : x
  2. Step 2: Convert to fraction form
    2,112.88/2,915.72 = 1,228.84/x
  3. Step 3: Cross multiply
    2,112.88x = 2,915.72 × 1,228.84
  4. Step 4: Simplify right side
    2,112.88x = 3,582,953.36
  5. Step 5: Solve for x
    x = 3,582,953.36/2,112.88
  6. Step 6: Final answer
    x = 1,695.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.