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Finding the Fourth Proportional to 1,682.45, 2,323.25 and 1,054.06

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Solution

The fourth proportional to 1,682.45, 2,323.25 and 1,054.06 is: 1,455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.45 : 2,323.25 = 1,054.06 : x
  2. Step 2: Convert to fraction form
    1,682.45/2,323.25 = 1,054.06/x
  3. Step 3: Cross multiply
    1,682.45x = 2,323.25 × 1,054.06
  4. Step 4: Simplify right side
    1,682.45x = 2,448,848.21
  5. Step 5: Solve for x
    x = 2,448,848.21/1,682.45
  6. Step 6: Final answer
    x = 1,455.52

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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.