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Finding the Fourth Proportional to 2,498, 3,448.84 and 2,235.56

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Solution

The fourth proportional to 2,498, 3,448.84 and 2,235.56 is: 3,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498 : 3,448.84 = 2,235.56 : x
  2. Step 2: Convert to fraction form
    2,498/3,448.84 = 2,235.56/x
  3. Step 3: Cross multiply
    2,498x = 3,448.84 × 2,235.56
  4. Step 4: Simplify right side
    2,498x = 7,710,088.75
  5. Step 5: Solve for x
    x = 7,710,088.75/2,498
  6. Step 6: Final answer
    x = 3,086.50

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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.