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Finding the Fourth Proportional to 2,435.78, 3,653.16 and 704

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Solution

The fourth proportional to 2,435.78, 3,653.16 and 704 is: 1,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.78 : 3,653.16 = 704 : x
  2. Step 2: Convert to fraction form
    2,435.78/3,653.16 = 704/x
  3. Step 3: Cross multiply
    2,435.78x = 3,653.16 × 704
  4. Step 4: Simplify right side
    2,435.78x = 2,571,824.64
  5. Step 5: Solve for x
    x = 2,571,824.64/2,435.78
  6. Step 6: Final answer
    x = 1,055.85

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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.