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Finding the Fourth Proportional to 1,443.93, 1,992.51 and 945.78

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Solution

The fourth proportional to 1,443.93, 1,992.51 and 945.78 is: 1,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.93 : 1,992.51 = 945.78 : x
  2. Step 2: Convert to fraction form
    1,443.93/1,992.51 = 945.78/x
  3. Step 3: Cross multiply
    1,443.93x = 1,992.51 × 945.78
  4. Step 4: Simplify right side
    1,443.93x = 1,884,476.11
  5. Step 5: Solve for x
    x = 1,884,476.11/1,443.93
  6. Step 6: Final answer
    x = 1,305.10

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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.