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Finding the Fourth Proportional to 2,336.42, 3,503.64 and 1,037

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Solution

The fourth proportional to 2,336.42, 3,503.64 and 1,037 is: 1,555.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.42 : 3,503.64 = 1,037 : x
  2. Step 2: Convert to fraction form
    2,336.42/3,503.64 = 1,037/x
  3. Step 3: Cross multiply
    2,336.42x = 3,503.64 × 1,037
  4. Step 4: Simplify right side
    2,336.42x = 3,633,274.68
  5. Step 5: Solve for x
    x = 3,633,274.68/2,336.42
  6. Step 6: Final answer
    x = 1,555.06

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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.