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Finding the Fourth Proportional to 2,865.60, 3,954.57 and 1,746.57

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Solution

The fourth proportional to 2,865.60, 3,954.57 and 1,746.57 is: 2,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.60 : 3,954.57 = 1,746.57 : x
  2. Step 2: Convert to fraction form
    2,865.60/3,954.57 = 1,746.57/x
  3. Step 3: Cross multiply
    2,865.60x = 3,954.57 × 1,746.57
  4. Step 4: Simplify right side
    2,865.60x = 6,906,933.32
  5. Step 5: Solve for x
    x = 6,906,933.32/2,865.60
  6. Step 6: Final answer
    x = 2,410.29

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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.