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Finding the Fourth Proportional to 1,640.90, 2,264.25 and 977.63

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Solution

The fourth proportional to 1,640.90, 2,264.25 and 977.63 is: 1,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.90 : 2,264.25 = 977.63 : x
  2. Step 2: Convert to fraction form
    1,640.90/2,264.25 = 977.63/x
  3. Step 3: Cross multiply
    1,640.90x = 2,264.25 × 977.63
  4. Step 4: Simplify right side
    1,640.90x = 2,213,587.41
  5. Step 5: Solve for x
    x = 2,213,587.41/1,640.90
  6. Step 6: Final answer
    x = 1,349.01

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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.