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Finding the Fourth Proportional to 2,475.64, 3,410.52 and 1,728.28

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Solution

The fourth proportional to 2,475.64, 3,410.52 and 1,728.28 is: 2,380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.64 : 3,410.52 = 1,728.28 : x
  2. Step 2: Convert to fraction form
    2,475.64/3,410.52 = 1,728.28/x
  3. Step 3: Cross multiply
    2,475.64x = 3,410.52 × 1,728.28
  4. Step 4: Simplify right side
    2,475.64x = 5,894,333.51
  5. Step 5: Solve for x
    x = 5,894,333.51/2,475.64
  6. Step 6: Final answer
    x = 2,380.93

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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.