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Finding the Fourth Proportional to 2,605.56, 3,594.84 and 1,543.44

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Solution

The fourth proportional to 2,605.56, 3,594.84 and 1,543.44 is: 2,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.56 : 3,594.84 = 1,543.44 : x
  2. Step 2: Convert to fraction form
    2,605.56/3,594.84 = 1,543.44/x
  3. Step 3: Cross multiply
    2,605.56x = 3,594.84 × 1,543.44
  4. Step 4: Simplify right side
    2,605.56x = 5,548,419.85
  5. Step 5: Solve for x
    x = 5,548,419.85/2,605.56
  6. Step 6: Final answer
    x = 2,129.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.