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Finding the Fourth Proportional to 2,153.58, 3,228.48 and 1,277.70

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Solution

The fourth proportional to 2,153.58, 3,228.48 and 1,277.70 is: 1,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.58 : 3,228.48 = 1,277.70 : x
  2. Step 2: Convert to fraction form
    2,153.58/3,228.48 = 1,277.70/x
  3. Step 3: Cross multiply
    2,153.58x = 3,228.48 × 1,277.70
  4. Step 4: Simplify right side
    2,153.58x = 4,125,028.90
  5. Step 5: Solve for x
    x = 4,125,028.90/2,153.58
  6. Step 6: Final answer
    x = 1,915.43

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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.