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Finding the Fourth Proportional to 1,731.29, 2,389.16 and 945.34

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Solution

The fourth proportional to 1,731.29, 2,389.16 and 945.34 is: 1,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.29 : 2,389.16 = 945.34 : x
  2. Step 2: Convert to fraction form
    1,731.29/2,389.16 = 945.34/x
  3. Step 3: Cross multiply
    1,731.29x = 2,389.16 × 945.34
  4. Step 4: Simplify right side
    1,731.29x = 2,258,551.84
  5. Step 5: Solve for x
    x = 2,258,551.84/1,731.29
  6. Step 6: Final answer
    x = 1,304.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.