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Finding the Fourth Proportional to 2,298.84, 3,447.93 and 738.64

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Solution

The fourth proportional to 2,298.84, 3,447.93 and 738.64 is: 1,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.84 : 3,447.93 = 738.64 : x
  2. Step 2: Convert to fraction form
    2,298.84/3,447.93 = 738.64/x
  3. Step 3: Cross multiply
    2,298.84x = 3,447.93 × 738.64
  4. Step 4: Simplify right side
    2,298.84x = 2,546,779.02
  5. Step 5: Solve for x
    x = 2,546,779.02/2,298.84
  6. Step 6: Final answer
    x = 1,107.85

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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.