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Finding the Fourth Proportional to 2,639.48, 3,959.55 and 973.71

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Solution

The fourth proportional to 2,639.48, 3,959.55 and 973.71 is: 1,460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.48 : 3,959.55 = 973.71 : x
  2. Step 2: Convert to fraction form
    2,639.48/3,959.55 = 973.71/x
  3. Step 3: Cross multiply
    2,639.48x = 3,959.55 × 973.71
  4. Step 4: Simplify right side
    2,639.48x = 3,855,453.43
  5. Step 5: Solve for x
    x = 3,855,453.43/2,639.48
  6. Step 6: Final answer
    x = 1,460.69

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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.