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Finding the Fourth Proportional to 1,643.38, 2,267.88 and 980.53

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Solution

The fourth proportional to 1,643.38, 2,267.88 and 980.53 is: 1,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.38 : 2,267.88 = 980.53 : x
  2. Step 2: Convert to fraction form
    1,643.38/2,267.88 = 980.53/x
  3. Step 3: Cross multiply
    1,643.38x = 2,267.88 × 980.53
  4. Step 4: Simplify right side
    1,643.38x = 2,223,724.38
  5. Step 5: Solve for x
    x = 2,223,724.38/1,643.38
  6. Step 6: Final answer
    x = 1,353.14

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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.