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Finding the Fourth Proportional to 3,152.88, 4,346.40 and 2,156.58

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Solution

The fourth proportional to 3,152.88, 4,346.40 and 2,156.58 is: 2,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.88 : 4,346.40 = 2,156.58 : x
  2. Step 2: Convert to fraction form
    3,152.88/4,346.40 = 2,156.58/x
  3. Step 3: Cross multiply
    3,152.88x = 4,346.40 × 2,156.58
  4. Step 4: Simplify right side
    3,152.88x = 9,373,359.31
  5. Step 5: Solve for x
    x = 9,373,359.31/3,152.88
  6. Step 6: Final answer
    x = 2,972.95

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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.