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Finding the Fourth Proportional to 2,051.51, 2,830.53 and 1,167.29

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Solution

The fourth proportional to 2,051.51, 2,830.53 and 1,167.29 is: 1,610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.51 : 2,830.53 = 1,167.29 : x
  2. Step 2: Convert to fraction form
    2,051.51/2,830.53 = 1,167.29/x
  3. Step 3: Cross multiply
    2,051.51x = 2,830.53 × 1,167.29
  4. Step 4: Simplify right side
    2,051.51x = 3,304,049.36
  5. Step 5: Solve for x
    x = 3,304,049.36/2,051.51
  6. Step 6: Final answer
    x = 1,610.55

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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.