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Finding the Fourth Proportional to 2,091.71, 3,140.17 and 1,302.23

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Solution

The fourth proportional to 2,091.71, 3,140.17 and 1,302.23 is: 1,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.71 : 3,140.17 = 1,302.23 : x
  2. Step 2: Convert to fraction form
    2,091.71/3,140.17 = 1,302.23/x
  3. Step 3: Cross multiply
    2,091.71x = 3,140.17 × 1,302.23
  4. Step 4: Simplify right side
    2,091.71x = 4,089,210.51
  5. Step 5: Solve for x
    x = 4,089,210.51/2,091.71
  6. Step 6: Final answer
    x = 1,954.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.