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Finding the Fourth Proportional to 2,435.06, 3,652.50 and 1,613.09

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Solution

The fourth proportional to 2,435.06, 3,652.50 and 1,613.09 is: 2,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.06 : 3,652.50 = 1,613.09 : x
  2. Step 2: Convert to fraction form
    2,435.06/3,652.50 = 1,613.09/x
  3. Step 3: Cross multiply
    2,435.06x = 3,652.50 × 1,613.09
  4. Step 4: Simplify right side
    2,435.06x = 5,891,811.23
  5. Step 5: Solve for x
    x = 5,891,811.23/2,435.06
  6. Step 6: Final answer
    x = 2,419.58

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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.