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Finding the Fourth Proportional to 1,915.64, 2,873.76 and 616.82

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Solution

The fourth proportional to 1,915.64, 2,873.76 and 616.82 is: 925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.64 : 2,873.76 = 616.82 : x
  2. Step 2: Convert to fraction form
    1,915.64/2,873.76 = 616.82/x
  3. Step 3: Cross multiply
    1,915.64x = 2,873.76 × 616.82
  4. Step 4: Simplify right side
    1,915.64x = 1,772,592.64
  5. Step 5: Solve for x
    x = 1,772,592.64/1,915.64
  6. Step 6: Final answer
    x = 925.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.