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Finding the Fourth Proportional to 2,483.82, 3,726.35 and 752.45

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Solution

The fourth proportional to 2,483.82, 3,726.35 and 752.45 is: 1,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.82 : 3,726.35 = 752.45 : x
  2. Step 2: Convert to fraction form
    2,483.82/3,726.35 = 752.45/x
  3. Step 3: Cross multiply
    2,483.82x = 3,726.35 × 752.45
  4. Step 4: Simplify right side
    2,483.82x = 2,803,892.06
  5. Step 5: Solve for x
    x = 2,803,892.06/2,483.82
  6. Step 6: Final answer
    x = 1,128.86

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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.