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Finding the Fourth Proportional to 2,525.55, 3,780.23 and 1,352.63

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Solution

The fourth proportional to 2,525.55, 3,780.23 and 1,352.63 is: 2,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.55 : 3,780.23 = 1,352.63 : x
  2. Step 2: Convert to fraction form
    2,525.55/3,780.23 = 1,352.63/x
  3. Step 3: Cross multiply
    2,525.55x = 3,780.23 × 1,352.63
  4. Step 4: Simplify right side
    2,525.55x = 5,113,226.84
  5. Step 5: Solve for x
    x = 5,113,226.84/2,525.55
  6. Step 6: Final answer
    x = 2,024.60

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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.