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Finding the Fourth Proportional to 1,801.67, 2,486.58 and 1,304.13

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Solution

The fourth proportional to 1,801.67, 2,486.58 and 1,304.13 is: 1,799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.67 : 2,486.58 = 1,304.13 : x
  2. Step 2: Convert to fraction form
    1,801.67/2,486.58 = 1,304.13/x
  3. Step 3: Cross multiply
    1,801.67x = 2,486.58 × 1,304.13
  4. Step 4: Simplify right side
    1,801.67x = 3,242,809.36
  5. Step 5: Solve for x
    x = 3,242,809.36/1,801.67
  6. Step 6: Final answer
    x = 1,799.89

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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.