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Finding the Fourth Proportional to 2,616.04, 3,920.22 and 1,315.72

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Solution

The fourth proportional to 2,616.04, 3,920.22 and 1,315.72 is: 1,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.04 : 3,920.22 = 1,315.72 : x
  2. Step 2: Convert to fraction form
    2,616.04/3,920.22 = 1,315.72/x
  3. Step 3: Cross multiply
    2,616.04x = 3,920.22 × 1,315.72
  4. Step 4: Simplify right side
    2,616.04x = 5,157,911.86
  5. Step 5: Solve for x
    x = 5,157,911.86/2,616.04
  6. Step 6: Final answer
    x = 1,971.65

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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.