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Finding the Fourth Proportional to 1,924.84, 2,887.14 and 1,101.04

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Solution

The fourth proportional to 1,924.84, 2,887.14 and 1,101.04 is: 1,651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.84 : 2,887.14 = 1,101.04 : x
  2. Step 2: Convert to fraction form
    1,924.84/2,887.14 = 1,101.04/x
  3. Step 3: Cross multiply
    1,924.84x = 2,887.14 × 1,101.04
  4. Step 4: Simplify right side
    1,924.84x = 3,178,856.63
  5. Step 5: Solve for x
    x = 3,178,856.63/1,924.84
  6. Step 6: Final answer
    x = 1,651.49

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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.