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Finding the Fourth Proportional to 2,874.87, 4,315.95 and 2,444.76

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Solution

The fourth proportional to 2,874.87, 4,315.95 and 2,444.76 is: 3,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.87 : 4,315.95 = 2,444.76 : x
  2. Step 2: Convert to fraction form
    2,874.87/4,315.95 = 2,444.76/x
  3. Step 3: Cross multiply
    2,874.87x = 4,315.95 × 2,444.76
  4. Step 4: Simplify right side
    2,874.87x = 10,551,461.92
  5. Step 5: Solve for x
    x = 10,551,461.92/2,874.87
  6. Step 6: Final answer
    x = 3,670.24

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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.