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Finding the Fourth Proportional to 3,077.87, 4,618.73 and 1,411.74

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Solution

The fourth proportional to 3,077.87, 4,618.73 and 1,411.74 is: 2,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.87 : 4,618.73 = 1,411.74 : x
  2. Step 2: Convert to fraction form
    3,077.87/4,618.73 = 1,411.74/x
  3. Step 3: Cross multiply
    3,077.87x = 4,618.73 × 1,411.74
  4. Step 4: Simplify right side
    3,077.87x = 6,520,449.42
  5. Step 5: Solve for x
    x = 6,520,449.42/3,077.87
  6. Step 6: Final answer
    x = 2,118.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.