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Finding the Fourth Proportional to 1,646.70, 2,272.33 and 900.64

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Solution

The fourth proportional to 1,646.70, 2,272.33 and 900.64 is: 1,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.70 : 2,272.33 = 900.64 : x
  2. Step 2: Convert to fraction form
    1,646.70/2,272.33 = 900.64/x
  3. Step 3: Cross multiply
    1,646.70x = 2,272.33 × 900.64
  4. Step 4: Simplify right side
    1,646.70x = 2,046,556.97
  5. Step 5: Solve for x
    x = 2,046,556.97/1,646.70
  6. Step 6: Final answer
    x = 1,242.82

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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.