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Finding the Fourth Proportional to 2,466.78, 3,699.90 and 735

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Solution

The fourth proportional to 2,466.78, 3,699.90 and 735 is: 1,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.78 : 3,699.90 = 735 : x
  2. Step 2: Convert to fraction form
    2,466.78/3,699.90 = 735/x
  3. Step 3: Cross multiply
    2,466.78x = 3,699.90 × 735
  4. Step 4: Simplify right side
    2,466.78x = 2,719,426.50
  5. Step 5: Solve for x
    x = 2,719,426.50/2,466.78
  6. Step 6: Final answer
    x = 1,102.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.