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Finding the Fourth Proportional to 2,957.58, 4,082.68 and 2,016.48

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Solution

The fourth proportional to 2,957.58, 4,082.68 and 2,016.48 is: 2,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.58 : 4,082.68 = 2,016.48 : x
  2. Step 2: Convert to fraction form
    2,957.58/4,082.68 = 2,016.48/x
  3. Step 3: Cross multiply
    2,957.58x = 4,082.68 × 2,016.48
  4. Step 4: Simplify right side
    2,957.58x = 8,232,661.74
  5. Step 5: Solve for x
    x = 8,232,661.74/2,957.58
  6. Step 6: Final answer
    x = 2,783.58

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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.