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Finding the Fourth Proportional to 1,494.51, 2,238.53 and 945.33

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Solution

The fourth proportional to 1,494.51, 2,238.53 and 945.33 is: 1,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.51 : 2,238.53 = 945.33 : x
  2. Step 2: Convert to fraction form
    1,494.51/2,238.53 = 945.33/x
  3. Step 3: Cross multiply
    1,494.51x = 2,238.53 × 945.33
  4. Step 4: Simplify right side
    1,494.51x = 2,116,144.84
  5. Step 5: Solve for x
    x = 2,116,144.84/1,494.51
  6. Step 6: Final answer
    x = 1,415.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.