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Finding the Fourth Proportional to 1,915.64, 2,640.18 and 1,649.40

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Solution

The fourth proportional to 1,915.64, 2,640.18 and 1,649.40 is: 2,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.64 : 2,640.18 = 1,649.40 : x
  2. Step 2: Convert to fraction form
    1,915.64/2,640.18 = 1,649.40/x
  3. Step 3: Cross multiply
    1,915.64x = 2,640.18 × 1,649.40
  4. Step 4: Simplify right side
    1,915.64x = 4,354,712.89
  5. Step 5: Solve for x
    x = 4,354,712.89/1,915.64
  6. Step 6: Final answer
    x = 2,273.24

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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.