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Finding the Fourth Proportional to 2,505.12, 3,756.88 and 1,205.76

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Solution

The fourth proportional to 2,505.12, 3,756.88 and 1,205.76 is: 1,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.12 : 3,756.88 = 1,205.76 : x
  2. Step 2: Convert to fraction form
    2,505.12/3,756.88 = 1,205.76/x
  3. Step 3: Cross multiply
    2,505.12x = 3,756.88 × 1,205.76
  4. Step 4: Simplify right side
    2,505.12x = 4,529,895.63
  5. Step 5: Solve for x
    x = 4,529,895.63/2,505.12
  6. Step 6: Final answer
    x = 1,808.25

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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.