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Finding the Fourth Proportional to 1,534.92, 2,117.31 and 945.33

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Solution

The fourth proportional to 1,534.92, 2,117.31 and 945.33 is: 1,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.92 : 2,117.31 = 945.33 : x
  2. Step 2: Convert to fraction form
    1,534.92/2,117.31 = 945.33/x
  3. Step 3: Cross multiply
    1,534.92x = 2,117.31 × 945.33
  4. Step 4: Simplify right side
    1,534.92x = 2,001,556.66
  5. Step 5: Solve for x
    x = 2,001,556.66/1,534.92
  6. Step 6: Final answer
    x = 1,304.01

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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.