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Finding the Fourth Proportional to 1,917.84, 2,880.81 and 1,433.88

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Solution

The fourth proportional to 1,917.84, 2,880.81 and 1,433.88 is: 2,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.84 : 2,880.81 = 1,433.88 : x
  2. Step 2: Convert to fraction form
    1,917.84/2,880.81 = 1,433.88/x
  3. Step 3: Cross multiply
    1,917.84x = 2,880.81 × 1,433.88
  4. Step 4: Simplify right side
    1,917.84x = 4,130,735.84
  5. Step 5: Solve for x
    x = 4,130,735.84/1,917.84
  6. Step 6: Final answer
    x = 2,153.85

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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.