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Finding the Fourth Proportional to 2,592.56, 3,888.14 and 1,770.68

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Solution

The fourth proportional to 2,592.56, 3,888.14 and 1,770.68 is: 2,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.56 : 3,888.14 = 1,770.68 : x
  2. Step 2: Convert to fraction form
    2,592.56/3,888.14 = 1,770.68/x
  3. Step 3: Cross multiply
    2,592.56x = 3,888.14 × 1,770.68
  4. Step 4: Simplify right side
    2,592.56x = 6,884,651.74
  5. Step 5: Solve for x
    x = 6,884,651.74/2,592.56
  6. Step 6: Final answer
    x = 2,655.54

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1.5x scale

Why These Related Problems?

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