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Finding the Fourth Proportional to 2,779.68, 4,161.84 and 1,460.64

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Solution

The fourth proportional to 2,779.68, 4,161.84 and 1,460.64 is: 2,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.68 : 4,161.84 = 1,460.64 : x
  2. Step 2: Convert to fraction form
    2,779.68/4,161.84 = 1,460.64/x
  3. Step 3: Cross multiply
    2,779.68x = 4,161.84 × 1,460.64
  4. Step 4: Simplify right side
    2,779.68x = 6,078,949.98
  5. Step 5: Solve for x
    x = 6,078,949.98/2,779.68
  6. Step 6: Final answer
    x = 2,186.92

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1.5x scale

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.