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Finding the Fourth Proportional to 2,127.69, 3,169.94 and 2,023.13

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Solution

The fourth proportional to 2,127.69, 3,169.94 and 2,023.13 is: 3,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.69 : 3,169.94 = 2,023.13 : x
  2. Step 2: Convert to fraction form
    2,127.69/3,169.94 = 2,023.13/x
  3. Step 3: Cross multiply
    2,127.69x = 3,169.94 × 2,023.13
  4. Step 4: Simplify right side
    2,127.69x = 6,413,200.71
  5. Step 5: Solve for x
    x = 6,413,200.71/2,127.69
  6. Step 6: Final answer
    x = 3,014.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.