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Finding the Fourth Proportional to 1,701.22, 2,347.81 and 945.04

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Solution

The fourth proportional to 1,701.22, 2,347.81 and 945.04 is: 1,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.22 : 2,347.81 = 945.04 : x
  2. Step 2: Convert to fraction form
    1,701.22/2,347.81 = 945.04/x
  3. Step 3: Cross multiply
    1,701.22x = 2,347.81 × 945.04
  4. Step 4: Simplify right side
    1,701.22x = 2,218,769.64
  5. Step 5: Solve for x
    x = 2,218,769.64/1,701.22
  6. Step 6: Final answer
    x = 1,304.22

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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.