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Finding the Fourth Proportional to 1,447.39, 1,995.06 and 922.51

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Solution

The fourth proportional to 1,447.39, 1,995.06 and 922.51 is: 1,271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.39 : 1,995.06 = 922.51 : x
  2. Step 2: Convert to fraction form
    1,447.39/1,995.06 = 922.51/x
  3. Step 3: Cross multiply
    1,447.39x = 1,995.06 × 922.51
  4. Step 4: Simplify right side
    1,447.39x = 1,840,462.80
  5. Step 5: Solve for x
    x = 1,840,462.80/1,447.39
  6. Step 6: Final answer
    x = 1,271.57

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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.