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Finding the Fourth Proportional to 1,758.35, 2,429.44 and 1,388.16

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Solution

The fourth proportional to 1,758.35, 2,429.44 and 1,388.16 is: 1,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.35 : 2,429.44 = 1,388.16 : x
  2. Step 2: Convert to fraction form
    1,758.35/2,429.44 = 1,388.16/x
  3. Step 3: Cross multiply
    1,758.35x = 2,429.44 × 1,388.16
  4. Step 4: Simplify right side
    1,758.35x = 3,372,455.77
  5. Step 5: Solve for x
    x = 3,372,455.77/1,758.35
  6. Step 6: Final answer
    x = 1,917.97

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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.