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Finding the Fourth Proportional to 1,527, 2,106.72 and 936.92

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Solution

The fourth proportional to 1,527, 2,106.72 and 936.92 is: 1,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527 : 2,106.72 = 936.92 : x
  2. Step 2: Convert to fraction form
    1,527/2,106.72 = 936.92/x
  3. Step 3: Cross multiply
    1,527x = 2,106.72 × 936.92
  4. Step 4: Simplify right side
    1,527x = 1,973,828.10
  5. Step 5: Solve for x
    x = 1,973,828.10/1,527
  6. Step 6: Final answer
    x = 1,292.62

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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.