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Finding the Fourth Proportional to 2,477.03, 3,720.17 and 2,180.65

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Solution

The fourth proportional to 2,477.03, 3,720.17 and 2,180.65 is: 3,275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.03 : 3,720.17 = 2,180.65 : x
  2. Step 2: Convert to fraction form
    2,477.03/3,720.17 = 2,180.65/x
  3. Step 3: Cross multiply
    2,477.03x = 3,720.17 × 2,180.65
  4. Step 4: Simplify right side
    2,477.03x = 8,112,370.11
  5. Step 5: Solve for x
    x = 8,112,370.11/2,477.03
  6. Step 6: Final answer
    x = 3,275.05

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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.