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Finding the Fourth Proportional to 2,566.94, 3,543.71 and 1,779.62

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Solution

The fourth proportional to 2,566.94, 3,543.71 and 1,779.62 is: 2,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.94 : 3,543.71 = 1,779.62 : x
  2. Step 2: Convert to fraction form
    2,566.94/3,543.71 = 1,779.62/x
  3. Step 3: Cross multiply
    2,566.94x = 3,543.71 × 1,779.62
  4. Step 4: Simplify right side
    2,566.94x = 6,306,430.57
  5. Step 5: Solve for x
    x = 6,306,430.57/2,566.94
  6. Step 6: Final answer
    x = 2,456.79

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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.