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Finding the Fourth Proportional to 1,746.78, 2,410.56 and 960.88

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Solution

The fourth proportional to 1,746.78, 2,410.56 and 960.88 is: 1,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.78 : 2,410.56 = 960.88 : x
  2. Step 2: Convert to fraction form
    1,746.78/2,410.56 = 960.88/x
  3. Step 3: Cross multiply
    1,746.78x = 2,410.56 × 960.88
  4. Step 4: Simplify right side
    1,746.78x = 2,316,258.89
  5. Step 5: Solve for x
    x = 2,316,258.89/1,746.78
  6. Step 6: Final answer
    x = 1,326.02

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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.