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Finding the Fourth Proportional to 2,599.90, 3,900.45 and 1,778.56

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Solution

The fourth proportional to 2,599.90, 3,900.45 and 1,778.56 is: 2,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.90 : 3,900.45 = 1,778.56 : x
  2. Step 2: Convert to fraction form
    2,599.90/3,900.45 = 1,778.56/x
  3. Step 3: Cross multiply
    2,599.90x = 3,900.45 × 1,778.56
  4. Step 4: Simplify right side
    2,599.90x = 6,937,184.35
  5. Step 5: Solve for x
    x = 6,937,184.35/2,599.90
  6. Step 6: Final answer
    x = 2,668.25

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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.