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Finding the Fourth Proportional to 2,780.58, 4,166.71 and 2,575.55

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Solution

The fourth proportional to 2,780.58, 4,166.71 and 2,575.55 is: 3,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.58 : 4,166.71 = 2,575.55 : x
  2. Step 2: Convert to fraction form
    2,780.58/4,166.71 = 2,575.55/x
  3. Step 3: Cross multiply
    2,780.58x = 4,166.71 × 2,575.55
  4. Step 4: Simplify right side
    2,780.58x = 10,731,549.11
  5. Step 5: Solve for x
    x = 10,731,549.11/2,780.58
  6. Step 6: Final answer
    x = 3,859.46

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