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Finding the Fourth Proportional to 1,640.84, 2,264.09 and 977.72

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Solution

The fourth proportional to 1,640.84, 2,264.09 and 977.72 is: 1,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.84 : 2,264.09 = 977.72 : x
  2. Step 2: Convert to fraction form
    1,640.84/2,264.09 = 977.72/x
  3. Step 3: Cross multiply
    1,640.84x = 2,264.09 × 977.72
  4. Step 4: Simplify right side
    1,640.84x = 2,213,629.87
  5. Step 5: Solve for x
    x = 2,213,629.87/1,640.84
  6. Step 6: Final answer
    x = 1,349.09

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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.