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Finding the Fourth Proportional to 1,643.04, 2,267.55 and 979.92

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Solution

The fourth proportional to 1,643.04, 2,267.55 and 979.92 is: 1,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.04 : 2,267.55 = 979.92 : x
  2. Step 2: Convert to fraction form
    1,643.04/2,267.55 = 979.92/x
  3. Step 3: Cross multiply
    1,643.04x = 2,267.55 × 979.92
  4. Step 4: Simplify right side
    1,643.04x = 2,222,017.60
  5. Step 5: Solve for x
    x = 2,222,017.60/1,643.04
  6. Step 6: Final answer
    x = 1,352.38

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Why These Related Problems?

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