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Finding the Fourth Proportional to 1,779.96, 2,654.25 and 1,656.84

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Solution

The fourth proportional to 1,779.96, 2,654.25 and 1,656.84 is: 2,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.96 : 2,654.25 = 1,656.84 : x
  2. Step 2: Convert to fraction form
    1,779.96/2,654.25 = 1,656.84/x
  3. Step 3: Cross multiply
    1,779.96x = 2,654.25 × 1,656.84
  4. Step 4: Simplify right side
    1,779.96x = 4,397,667.57
  5. Step 5: Solve for x
    x = 4,397,667.57/1,779.96
  6. Step 6: Final answer
    x = 2,470.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.