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Finding the Fourth Proportional to 1,922.84, 2,652.78 and 1,214.48

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Solution

The fourth proportional to 1,922.84, 2,652.78 and 1,214.48 is: 1,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.84 : 2,652.78 = 1,214.48 : x
  2. Step 2: Convert to fraction form
    1,922.84/2,652.78 = 1,214.48/x
  3. Step 3: Cross multiply
    1,922.84x = 2,652.78 × 1,214.48
  4. Step 4: Simplify right side
    1,922.84x = 3,221,748.25
  5. Step 5: Solve for x
    x = 3,221,748.25/1,922.84
  6. Step 6: Final answer
    x = 1,675.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.