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Finding the Fourth Proportional to 2,504.85, 3,750.30 and 1,886.66

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Solution

The fourth proportional to 2,504.85, 3,750.30 and 1,886.66 is: 2,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.85 : 3,750.30 = 1,886.66 : x
  2. Step 2: Convert to fraction form
    2,504.85/3,750.30 = 1,886.66/x
  3. Step 3: Cross multiply
    2,504.85x = 3,750.30 × 1,886.66
  4. Step 4: Simplify right side
    2,504.85x = 7,075,522.25
  5. Step 5: Solve for x
    x = 7,075,522.25/2,504.85
  6. Step 6: Final answer
    x = 2,824.73

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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.