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Finding the Fourth Proportional to 1,527.34, 2,107.89 and 937.77

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Solution

The fourth proportional to 1,527.34, 2,107.89 and 937.77 is: 1,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.34 : 2,107.89 = 937.77 : x
  2. Step 2: Convert to fraction form
    1,527.34/2,107.89 = 937.77/x
  3. Step 3: Cross multiply
    1,527.34x = 2,107.89 × 937.77
  4. Step 4: Simplify right side
    1,527.34x = 1,976,716.01
  5. Step 5: Solve for x
    x = 1,976,716.01/1,527.34
  6. Step 6: Final answer
    x = 1,294.22

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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.