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Finding the Fourth Proportional to 2,245.26, 3,101.06 and 1,498

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Solution

The fourth proportional to 2,245.26, 3,101.06 and 1,498 is: 2,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.26 : 3,101.06 = 1,498 : x
  2. Step 2: Convert to fraction form
    2,245.26/3,101.06 = 1,498/x
  3. Step 3: Cross multiply
    2,245.26x = 3,101.06 × 1,498
  4. Step 4: Simplify right side
    2,245.26x = 4,645,387.88
  5. Step 5: Solve for x
    x = 4,645,387.88/2,245.26
  6. Step 6: Final answer
    x = 2,068.98

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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.