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Finding the Fourth Proportional to 1,527.26, 2,106.81 and 936.77

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Solution

The fourth proportional to 1,527.26, 2,106.81 and 936.77 is: 1,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.26 : 2,106.81 = 936.77 : x
  2. Step 2: Convert to fraction form
    1,527.26/2,106.81 = 936.77/x
  3. Step 3: Cross multiply
    1,527.26x = 2,106.81 × 936.77
  4. Step 4: Simplify right side
    1,527.26x = 1,973,585.87
  5. Step 5: Solve for x
    x = 1,973,585.87/1,527.26
  6. Step 6: Final answer
    x = 1,292.24

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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.