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Finding the Fourth Proportional to 1,853.64, 2,780.34 and 757.98

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Solution

The fourth proportional to 1,853.64, 2,780.34 and 757.98 is: 1,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.64 : 2,780.34 = 757.98 : x
  2. Step 2: Convert to fraction form
    1,853.64/2,780.34 = 757.98/x
  3. Step 3: Cross multiply
    1,853.64x = 2,780.34 × 757.98
  4. Step 4: Simplify right side
    1,853.64x = 2,107,442.11
  5. Step 5: Solve for x
    x = 2,107,442.11/1,853.64
  6. Step 6: Final answer
    x = 1,136.92

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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.