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Finding the Fourth Proportional to 2,669.76, 3,684.36 and 1,490.82

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Solution

The fourth proportional to 2,669.76, 3,684.36 and 1,490.82 is: 2,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.76 : 3,684.36 = 1,490.82 : x
  2. Step 2: Convert to fraction form
    2,669.76/3,684.36 = 1,490.82/x
  3. Step 3: Cross multiply
    2,669.76x = 3,684.36 × 1,490.82
  4. Step 4: Simplify right side
    2,669.76x = 5,492,717.58
  5. Step 5: Solve for x
    x = 5,492,717.58/2,669.76
  6. Step 6: Final answer
    x = 2,057.38

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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.