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Finding the Fourth Proportional to 1,853.18, 2,779.78 and 466.52

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Solution

The fourth proportional to 1,853.18, 2,779.78 and 466.52 is: 699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.18 : 2,779.78 = 466.52 : x
  2. Step 2: Convert to fraction form
    1,853.18/2,779.78 = 466.52/x
  3. Step 3: Cross multiply
    1,853.18x = 2,779.78 × 466.52
  4. Step 4: Simplify right side
    1,853.18x = 1,296,824.41
  5. Step 5: Solve for x
    x = 1,296,824.41/1,853.18
  6. Step 6: Final answer
    x = 699.78

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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.