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Finding the Fourth Proportional to 2,669.47, 3,684.21 and 1,490.78

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Solution

The fourth proportional to 2,669.47, 3,684.21 and 1,490.78 is: 2,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.47 : 3,684.21 = 1,490.78 : x
  2. Step 2: Convert to fraction form
    2,669.47/3,684.21 = 1,490.78/x
  3. Step 3: Cross multiply
    2,669.47x = 3,684.21 × 1,490.78
  4. Step 4: Simplify right side
    2,669.47x = 5,492,346.58
  5. Step 5: Solve for x
    x = 5,492,346.58/2,669.47
  6. Step 6: Final answer
    x = 2,057.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.