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Finding the Fourth Proportional to 2,466.76, 3,700.76 and 735.38

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Solution

The fourth proportional to 2,466.76, 3,700.76 and 735.38 is: 1,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.76 : 3,700.76 = 735.38 : x
  2. Step 2: Convert to fraction form
    2,466.76/3,700.76 = 735.38/x
  3. Step 3: Cross multiply
    2,466.76x = 3,700.76 × 735.38
  4. Step 4: Simplify right side
    2,466.76x = 2,721,464.89
  5. Step 5: Solve for x
    x = 2,721,464.89/2,466.76
  6. Step 6: Final answer
    x = 1,103.25

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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.