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Finding the Fourth Proportional to 1,871.71, 2,584.63 and 1,164.77

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Solution

The fourth proportional to 1,871.71, 2,584.63 and 1,164.77 is: 1,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.71 : 2,584.63 = 1,164.77 : x
  2. Step 2: Convert to fraction form
    1,871.71/2,584.63 = 1,164.77/x
  3. Step 3: Cross multiply
    1,871.71x = 2,584.63 × 1,164.77
  4. Step 4: Simplify right side
    1,871.71x = 3,010,491.16
  5. Step 5: Solve for x
    x = 3,010,491.16/1,871.71
  6. Step 6: Final answer
    x = 1,608.41

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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.