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Finding the Fourth Proportional to 1,853.16, 2,779.65 and 466.50

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Solution

The fourth proportional to 1,853.16, 2,779.65 and 466.50 is: 699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.16 : 2,779.65 = 466.50 : x
  2. Step 2: Convert to fraction form
    1,853.16/2,779.65 = 466.50/x
  3. Step 3: Cross multiply
    1,853.16x = 2,779.65 × 466.50
  4. Step 4: Simplify right side
    1,853.16x = 1,296,709.33
  5. Step 5: Solve for x
    x = 1,296,709.33/1,853.16
  6. Step 6: Final answer
    x = 699.73

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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.