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Finding the Fourth Proportional to 2,436, 3,358.58 and 1,869.50

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Solution

The fourth proportional to 2,436, 3,358.58 and 1,869.50 is: 2,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436 : 3,358.58 = 1,869.50 : x
  2. Step 2: Convert to fraction form
    2,436/3,358.58 = 1,869.50/x
  3. Step 3: Cross multiply
    2,436x = 3,358.58 × 1,869.50
  4. Step 4: Simplify right side
    2,436x = 6,278,865.31
  5. Step 5: Solve for x
    x = 6,278,865.31/2,436
  6. Step 6: Final answer
    x = 2,577.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.