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Finding the Fourth Proportional to 1,687.34, 2,328.51 and 941.31

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Solution

The fourth proportional to 1,687.34, 2,328.51 and 941.31 is: 1,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.34 : 2,328.51 = 941.31 : x
  2. Step 2: Convert to fraction form
    1,687.34/2,328.51 = 941.31/x
  3. Step 3: Cross multiply
    1,687.34x = 2,328.51 × 941.31
  4. Step 4: Simplify right side
    1,687.34x = 2,191,849.75
  5. Step 5: Solve for x
    x = 2,191,849.75/1,687.34
  6. Step 6: Final answer
    x = 1,299.00

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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.