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Finding the Fourth Proportional to 2,908.16, 4,013.23 and 1,581.86

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Solution

The fourth proportional to 2,908.16, 4,013.23 and 1,581.86 is: 2,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.16 : 4,013.23 = 1,581.86 : x
  2. Step 2: Convert to fraction form
    2,908.16/4,013.23 = 1,581.86/x
  3. Step 3: Cross multiply
    2,908.16x = 4,013.23 × 1,581.86
  4. Step 4: Simplify right side
    2,908.16x = 6,348,368.01
  5. Step 5: Solve for x
    x = 6,348,368.01/2,908.16
  6. Step 6: Final answer
    x = 2,182.95

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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.