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Finding the Fourth Proportional to 1,746.60, 2,410.46 and 960.82

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Solution

The fourth proportional to 1,746.60, 2,410.46 and 960.82 is: 1,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.60 : 2,410.46 = 960.82 : x
  2. Step 2: Convert to fraction form
    1,746.60/2,410.46 = 960.82/x
  3. Step 3: Cross multiply
    1,746.60x = 2,410.46 × 960.82
  4. Step 4: Simplify right side
    1,746.60x = 2,316,018.18
  5. Step 5: Solve for x
    x = 2,316,018.18/1,746.60
  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.