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Finding the Fourth Proportional to 2,407.68, 3,604.50 and 2,037.51

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Solution

The fourth proportional to 2,407.68, 3,604.50 and 2,037.51 is: 3,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.68 : 3,604.50 = 2,037.51 : x
  2. Step 2: Convert to fraction form
    2,407.68/3,604.50 = 2,037.51/x
  3. Step 3: Cross multiply
    2,407.68x = 3,604.50 × 2,037.51
  4. Step 4: Simplify right side
    2,407.68x = 7,344,204.80
  5. Step 5: Solve for x
    x = 7,344,204.80/2,407.68
  6. Step 6: Final answer
    x = 3,050.32

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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.