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Finding the Fourth Proportional to 2,504.47, 3,761.04 and 1,536.25

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Solution

The fourth proportional to 2,504.47, 3,761.04 and 1,536.25 is: 2,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.47 : 3,761.04 = 1,536.25 : x
  2. Step 2: Convert to fraction form
    2,504.47/3,761.04 = 1,536.25/x
  3. Step 3: Cross multiply
    2,504.47x = 3,761.04 × 1,536.25
  4. Step 4: Simplify right side
    2,504.47x = 5,777,897.70
  5. Step 5: Solve for x
    x = 5,777,897.70/2,504.47
  6. Step 6: Final answer
    x = 2,307.03

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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.