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Finding the Fourth Proportional to 1,642.83, 2,267.10 and 979.71

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Solution

The fourth proportional to 1,642.83, 2,267.10 and 979.71 is: 1,352.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.83 : 2,267.10 = 979.71 : x
  2. Step 2: Convert to fraction form
    1,642.83/2,267.10 = 979.71/x
  3. Step 3: Cross multiply
    1,642.83x = 2,267.10 × 979.71
  4. Step 4: Simplify right side
    1,642.83x = 2,221,100.54
  5. Step 5: Solve for x
    x = 2,221,100.54/1,642.83
  6. Step 6: Final answer
    x = 1,352.00

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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.