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Finding the Fourth Proportional to 2,656.15, 3,660.73 and 2,160.43

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Solution

The fourth proportional to 2,656.15, 3,660.73 and 2,160.43 is: 2,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.15 : 3,660.73 = 2,160.43 : x
  2. Step 2: Convert to fraction form
    2,656.15/3,660.73 = 2,160.43/x
  3. Step 3: Cross multiply
    2,656.15x = 3,660.73 × 2,160.43
  4. Step 4: Simplify right side
    2,656.15x = 7,908,750.91
  5. Step 5: Solve for x
    x = 7,908,750.91/2,656.15
  6. Step 6: Final answer
    x = 2,977.52

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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.