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Finding the Fourth Proportional to 2,567.76, 3,543.57 and 1,559.49

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Solution

The fourth proportional to 2,567.76, 3,543.57 and 1,559.49 is: 2,152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.76 : 3,543.57 = 1,559.49 : x
  2. Step 2: Convert to fraction form
    2,567.76/3,543.57 = 1,559.49/x
  3. Step 3: Cross multiply
    2,567.76x = 3,543.57 × 1,559.49
  4. Step 4: Simplify right side
    2,567.76x = 5,526,161.98
  5. Step 5: Solve for x
    x = 5,526,161.98/2,567.76
  6. Step 6: Final answer
    x = 2,152.13

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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.