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Finding the Fourth Proportional to 1,852.72, 2,780.16 and 756.92

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Solution

The fourth proportional to 1,852.72, 2,780.16 and 756.92 is: 1,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.72 : 2,780.16 = 756.92 : x
  2. Step 2: Convert to fraction form
    1,852.72/2,780.16 = 756.92/x
  3. Step 3: Cross multiply
    1,852.72x = 2,780.16 × 756.92
  4. Step 4: Simplify right side
    1,852.72x = 2,104,358.71
  5. Step 5: Solve for x
    x = 2,104,358.71/1,852.72
  6. Step 6: Final answer
    x = 1,135.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.