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Finding the Fourth Proportional to 1,646.49, 2,272.20 and 900.49

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Solution

The fourth proportional to 1,646.49, 2,272.20 and 900.49 is: 1,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.49 : 2,272.20 = 900.49 : x
  2. Step 2: Convert to fraction form
    1,646.49/2,272.20 = 900.49/x
  3. Step 3: Cross multiply
    1,646.49x = 2,272.20 × 900.49
  4. Step 4: Simplify right side
    1,646.49x = 2,046,093.38
  5. Step 5: Solve for x
    x = 2,046,093.38/1,646.49
  6. Step 6: Final answer
    x = 1,242.70

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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.