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Finding the Fourth Proportional to 1,779.10, 2,668.75 and 805.07

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Solution

The fourth proportional to 1,779.10, 2,668.75 and 805.07 is: 1,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.10 : 2,668.75 = 805.07 : x
  2. Step 2: Convert to fraction form
    1,779.10/2,668.75 = 805.07/x
  3. Step 3: Cross multiply
    1,779.10x = 2,668.75 × 805.07
  4. Step 4: Simplify right side
    1,779.10x = 2,148,535.22
  5. Step 5: Solve for x
    x = 2,148,535.22/1,779.10
  6. Step 6: Final answer
    x = 1,207.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.