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Finding the Fourth Proportional to 2,661.57, 3,673.41 and 2,030.91

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Solution

The fourth proportional to 2,661.57, 3,673.41 and 2,030.91 is: 2,802.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.57 : 3,673.41 = 2,030.91 : x
  2. Step 2: Convert to fraction form
    2,661.57/3,673.41 = 2,030.91/x
  3. Step 3: Cross multiply
    2,661.57x = 3,673.41 × 2,030.91
  4. Step 4: Simplify right side
    2,661.57x = 7,460,365.10
  5. Step 5: Solve for x
    x = 7,460,365.10/2,661.57
  6. Step 6: Final answer
    x = 2,802.99

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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.