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Finding the Fourth Proportional to 2,678.25, 3,696 and 1,746.75

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Solution

The fourth proportional to 2,678.25, 3,696 and 1,746.75 is: 2,410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.25 : 3,696 = 1,746.75 : x
  2. Step 2: Convert to fraction form
    2,678.25/3,696 = 1,746.75/x
  3. Step 3: Cross multiply
    2,678.25x = 3,696 × 1,746.75
  4. Step 4: Simplify right side
    2,678.25x = 6,455,988
  5. Step 5: Solve for x
    x = 6,455,988/2,678.25
  6. Step 6: Final answer
    x = 2,410.52

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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.