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Finding the Fourth Proportional to 1,872.67, 2,583.93 and 1,164.72

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Solution

The fourth proportional to 1,872.67, 2,583.93 and 1,164.72 is: 1,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.67 : 2,583.93 = 1,164.72 : x
  2. Step 2: Convert to fraction form
    1,872.67/2,583.93 = 1,164.72/x
  3. Step 3: Cross multiply
    1,872.67x = 2,583.93 × 1,164.72
  4. Step 4: Simplify right side
    1,872.67x = 3,009,554.95
  5. Step 5: Solve for x
    x = 3,009,554.95/1,872.67
  6. Step 6: Final answer
    x = 1,607.09

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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.