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Finding the Fourth Proportional to 2,007.46, 2,771.84 and 1,564.60

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Solution

The fourth proportional to 2,007.46, 2,771.84 and 1,564.60 is: 2,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.46 : 2,771.84 = 1,564.60 : x
  2. Step 2: Convert to fraction form
    2,007.46/2,771.84 = 1,564.60/x
  3. Step 3: Cross multiply
    2,007.46x = 2,771.84 × 1,564.60
  4. Step 4: Simplify right side
    2,007.46x = 4,336,799.18
  5. Step 5: Solve for x
    x = 4,336,799.18/2,007.46
  6. Step 6: Final answer
    x = 2,160.34

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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.