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Finding the Fourth Proportional to 1,703.95, 2,351.70 and 957.97

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Solution

The fourth proportional to 1,703.95, 2,351.70 and 957.97 is: 1,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.95 : 2,351.70 = 957.97 : x
  2. Step 2: Convert to fraction form
    1,703.95/2,351.70 = 957.97/x
  3. Step 3: Cross multiply
    1,703.95x = 2,351.70 × 957.97
  4. Step 4: Simplify right side
    1,703.95x = 2,252,858.05
  5. Step 5: Solve for x
    x = 2,252,858.05/1,703.95
  6. Step 6: Final answer
    x = 1,322.14

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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.