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Finding the Fourth Proportional to 1,636.30, 2,256.20 and 1,304.47

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Solution

The fourth proportional to 1,636.30, 2,256.20 and 1,304.47 is: 1,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.30 : 2,256.20 = 1,304.47 : x
  2. Step 2: Convert to fraction form
    1,636.30/2,256.20 = 1,304.47/x
  3. Step 3: Cross multiply
    1,636.30x = 2,256.20 × 1,304.47
  4. Step 4: Simplify right side
    1,636.30x = 2,943,133.93
  5. Step 5: Solve for x
    x = 2,943,133.93/1,636.30
  6. Step 6: Final answer
    x = 1,798.66

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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.