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Finding the Fourth Proportional to 1,687.32, 2,328.35 and 941.31

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Solution

The fourth proportional to 1,687.32, 2,328.35 and 941.31 is: 1,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.32 : 2,328.35 = 941.31 : x
  2. Step 2: Convert to fraction form
    1,687.32/2,328.35 = 941.31/x
  3. Step 3: Cross multiply
    1,687.32x = 2,328.35 × 941.31
  4. Step 4: Simplify right side
    1,687.32x = 2,191,694.43
  5. Step 5: Solve for x
    x = 2,191,694.43/1,687.32
  6. Step 6: Final answer
    x = 1,298.92

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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.