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Finding the Fourth Proportional to 1,914.84, 2,644.45 and 1,648.76

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Solution

The fourth proportional to 1,914.84, 2,644.45 and 1,648.76 is: 2,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.84 : 2,644.45 = 1,648.76 : x
  2. Step 2: Convert to fraction form
    1,914.84/2,644.45 = 1,648.76/x
  3. Step 3: Cross multiply
    1,914.84x = 2,644.45 × 1,648.76
  4. Step 4: Simplify right side
    1,914.84x = 4,360,046.04
  5. Step 5: Solve for x
    x = 4,360,046.04/1,914.84
  6. Step 6: Final answer
    x = 2,276.98

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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.