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Finding the Fourth Proportional to 1,779.64, 2,454.67 and 1,220.15

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Solution

The fourth proportional to 1,779.64, 2,454.67 and 1,220.15 is: 1,682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.64 : 2,454.67 = 1,220.15 : x
  2. Step 2: Convert to fraction form
    1,779.64/2,454.67 = 1,220.15/x
  3. Step 3: Cross multiply
    1,779.64x = 2,454.67 × 1,220.15
  4. Step 4: Simplify right side
    1,779.64x = 2,995,059.45
  5. Step 5: Solve for x
    x = 2,995,059.45/1,779.64
  6. Step 6: Final answer
    x = 1,682.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.