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Finding the Fourth Proportional to 2,876.06, 4,315.11 and 1,416.23

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Solution

The fourth proportional to 2,876.06, 4,315.11 and 1,416.23 is: 2,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.06 : 4,315.11 = 1,416.23 : x
  2. Step 2: Convert to fraction form
    2,876.06/4,315.11 = 1,416.23/x
  3. Step 3: Cross multiply
    2,876.06x = 4,315.11 × 1,416.23
  4. Step 4: Simplify right side
    2,876.06x = 6,111,188.24
  5. Step 5: Solve for x
    x = 6,111,188.24/2,876.06
  6. Step 6: Final answer
    x = 2,124.85

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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.