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Finding the Fourth Proportional to 1,534.93, 2,118.59 and 945.97

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Solution

The fourth proportional to 1,534.93, 2,118.59 and 945.97 is: 1,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.93 : 2,118.59 = 945.97 : x
  2. Step 2: Convert to fraction form
    1,534.93/2,118.59 = 945.97/x
  3. Step 3: Cross multiply
    1,534.93x = 2,118.59 × 945.97
  4. Step 4: Simplify right side
    1,534.93x = 2,004,122.58
  5. Step 5: Solve for x
    x = 2,004,122.58/1,534.93
  6. Step 6: Final answer
    x = 1,305.68

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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.