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Finding the Fourth Proportional to 2,421.09, 3,636.09 and 1,498.50

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Solution

The fourth proportional to 2,421.09, 3,636.09 and 1,498.50 is: 2,250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.09 : 3,636.09 = 1,498.50 : x
  2. Step 2: Convert to fraction form
    2,421.09/3,636.09 = 1,498.50/x
  3. Step 3: Cross multiply
    2,421.09x = 3,636.09 × 1,498.50
  4. Step 4: Simplify right side
    2,421.09x = 5,448,680.87
  5. Step 5: Solve for x
    x = 5,448,680.87/2,421.09
  6. Step 6: Final answer
    x = 2,250.51

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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.