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Finding the Fourth Proportional to 2,483.97, 3,726.10 and 1,022.63

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Solution

The fourth proportional to 2,483.97, 3,726.10 and 1,022.63 is: 1,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.97 : 3,726.10 = 1,022.63 : x
  2. Step 2: Convert to fraction form
    2,483.97/3,726.10 = 1,022.63/x
  3. Step 3: Cross multiply
    2,483.97x = 3,726.10 × 1,022.63
  4. Step 4: Simplify right side
    2,483.97x = 3,810,404.29
  5. Step 5: Solve for x
    x = 3,810,404.29/2,483.97
  6. Step 6: Final answer
    x = 1,534.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.