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Finding the Fourth Proportional to 2,298.46, 3,448.14 and 837.62

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Solution

The fourth proportional to 2,298.46, 3,448.14 and 837.62 is: 1,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.46 : 3,448.14 = 837.62 : x
  2. Step 2: Convert to fraction form
    2,298.46/3,448.14 = 837.62/x
  3. Step 3: Cross multiply
    2,298.46x = 3,448.14 × 837.62
  4. Step 4: Simplify right side
    2,298.46x = 2,888,231.03
  5. Step 5: Solve for x
    x = 2,888,231.03/2,298.46
  6. Step 6: Final answer
    x = 1,256.59

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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.