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Finding the Fourth Proportional to 1,527.40, 2,107.68 and 937.84

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Solution

The fourth proportional to 1,527.40, 2,107.68 and 937.84 is: 1,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.40 : 2,107.68 = 937.84 : x
  2. Step 2: Convert to fraction form
    1,527.40/2,107.68 = 937.84/x
  3. Step 3: Cross multiply
    1,527.40x = 2,107.68 × 937.84
  4. Step 4: Simplify right side
    1,527.40x = 1,976,666.61
  5. Step 5: Solve for x
    x = 1,976,666.61/1,527.40
  6. Step 6: Final answer
    x = 1,294.14

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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.