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Finding the Fourth Proportional to 2,876.96, 4,315.20 and 1,145.68

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Solution

The fourth proportional to 2,876.96, 4,315.20 and 1,145.68 is: 1,718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.96 : 4,315.20 = 1,145.68 : x
  2. Step 2: Convert to fraction form
    2,876.96/4,315.20 = 1,145.68/x
  3. Step 3: Cross multiply
    2,876.96x = 4,315.20 × 1,145.68
  4. Step 4: Simplify right side
    2,876.96x = 4,943,838.34
  5. Step 5: Solve for x
    x = 4,943,838.34/2,876.96
  6. Step 6: Final answer
    x = 1,718.42

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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.