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Finding the Fourth Proportional to 2,156.70, 2,972.16 and 1,730.82

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Solution

The fourth proportional to 2,156.70, 2,972.16 and 1,730.82 is: 2,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.70 : 2,972.16 = 1,730.82 : x
  2. Step 2: Convert to fraction form
    2,156.70/2,972.16 = 1,730.82/x
  3. Step 3: Cross multiply
    2,156.70x = 2,972.16 × 1,730.82
  4. Step 4: Simplify right side
    2,156.70x = 5,144,273.97
  5. Step 5: Solve for x
    x = 5,144,273.97/2,156.70
  6. Step 6: Final answer
    x = 2,385.25

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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.