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Finding the Fourth Proportional to 1,779.65, 2,455.78 and 1,033.66

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Solution

The fourth proportional to 1,779.65, 2,455.78 and 1,033.66 is: 1,426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.65 : 2,455.78 = 1,033.66 : x
  2. Step 2: Convert to fraction form
    1,779.65/2,455.78 = 1,033.66/x
  3. Step 3: Cross multiply
    1,779.65x = 2,455.78 × 1,033.66
  4. Step 4: Simplify right side
    1,779.65x = 2,538,441.55
  5. Step 5: Solve for x
    x = 2,538,441.55/1,779.65
  6. Step 6: Final answer
    x = 1,426.37

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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.