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Finding the Fourth Proportional to 2,153.02, 2,974.05 and 1,735

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Solution

The fourth proportional to 2,153.02, 2,974.05 and 1,735 is: 2,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.02 : 2,974.05 = 1,735 : x
  2. Step 2: Convert to fraction form
    2,153.02/2,974.05 = 1,735/x
  3. Step 3: Cross multiply
    2,153.02x = 2,974.05 × 1,735
  4. Step 4: Simplify right side
    2,153.02x = 5,159,976.75
  5. Step 5: Solve for x
    x = 5,159,976.75/2,153.02
  6. Step 6: Final answer
    x = 2,396.62

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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.