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Finding the Fourth Proportional to 1,703.87, 2,351.27 and 957.87

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Solution

The fourth proportional to 1,703.87, 2,351.27 and 957.87 is: 1,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.87 : 2,351.27 = 957.87 : x
  2. Step 2: Convert to fraction form
    1,703.87/2,351.27 = 957.87/x
  3. Step 3: Cross multiply
    1,703.87x = 2,351.27 × 957.87
  4. Step 4: Simplify right side
    1,703.87x = 2,252,210.99
  5. Step 5: Solve for x
    x = 2,252,210.99/1,703.87
  6. Step 6: Final answer
    x = 1,321.82

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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.