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Finding the Fourth Proportional to 2,112.48, 2,915.22 and 1,228.32

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Solution

The fourth proportional to 2,112.48, 2,915.22 and 1,228.32 is: 1,695.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.48 : 2,915.22 = 1,228.32 : x
  2. Step 2: Convert to fraction form
    2,112.48/2,915.22 = 1,228.32/x
  3. Step 3: Cross multiply
    2,112.48x = 2,915.22 × 1,228.32
  4. Step 4: Simplify right side
    2,112.48x = 3,580,823.03
  5. Step 5: Solve for x
    x = 3,580,823.03/2,112.48
  6. Step 6: Final answer
    x = 1,695.08

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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.