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Finding the Fourth Proportional to 1,740.39, 2,397.74 and 1,297.41

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Solution

The fourth proportional to 1,740.39, 2,397.74 and 1,297.41 is: 1,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.39 : 2,397.74 = 1,297.41 : x
  2. Step 2: Convert to fraction form
    1,740.39/2,397.74 = 1,297.41/x
  3. Step 3: Cross multiply
    1,740.39x = 2,397.74 × 1,297.41
  4. Step 4: Simplify right side
    1,740.39x = 3,110,845.37
  5. Step 5: Solve for x
    x = 3,110,845.37/1,740.39
  6. Step 6: Final answer
    x = 1,787.44

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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.