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Finding the Fourth Proportional to 2,521.76, 3,774.84 and 2,148.09

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Solution

The fourth proportional to 2,521.76, 3,774.84 and 2,148.09 is: 3,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.76 : 3,774.84 = 2,148.09 : x
  2. Step 2: Convert to fraction form
    2,521.76/3,774.84 = 2,148.09/x
  3. Step 3: Cross multiply
    2,521.76x = 3,774.84 × 2,148.09
  4. Step 4: Simplify right side
    2,521.76x = 8,108,696.06
  5. Step 5: Solve for x
    x = 8,108,696.06/2,521.76
  6. Step 6: Final answer
    x = 3,215.50

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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.