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Finding the Fourth Proportional to 2,546, 3,511.84 and 1,498.40

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Solution

The fourth proportional to 2,546, 3,511.84 and 1,498.40 is: 2,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546 : 3,511.84 = 1,498.40 : x
  2. Step 2: Convert to fraction form
    2,546/3,511.84 = 1,498.40/x
  3. Step 3: Cross multiply
    2,546x = 3,511.84 × 1,498.40
  4. Step 4: Simplify right side
    2,546x = 5,262,141.06
  5. Step 5: Solve for x
    x = 5,262,141.06/2,546
  6. Step 6: Final answer
    x = 2,066.83

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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.