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Finding the Fourth Proportional to 1,646.73, 2,272.51 and 983.64

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Solution

The fourth proportional to 1,646.73, 2,272.51 and 983.64 is: 1,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.73 : 2,272.51 = 983.64 : x
  2. Step 2: Convert to fraction form
    1,646.73/2,272.51 = 983.64/x
  3. Step 3: Cross multiply
    1,646.73x = 2,272.51 × 983.64
  4. Step 4: Simplify right side
    1,646.73x = 2,235,331.74
  5. Step 5: Solve for x
    x = 2,235,331.74/1,646.73
  6. Step 6: Final answer
    x = 1,357.44

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1.5x scale

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.