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Finding the Fourth Proportional to 2,007.54, 2,771.55 and 1,346.58

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Solution

The fourth proportional to 2,007.54, 2,771.55 and 1,346.58 is: 1,859.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.54 : 2,771.55 = 1,346.58 : x
  2. Step 2: Convert to fraction form
    2,007.54/2,771.55 = 1,346.58/x
  3. Step 3: Cross multiply
    2,007.54x = 2,771.55 × 1,346.58
  4. Step 4: Simplify right side
    2,007.54x = 3,732,113.80
  5. Step 5: Solve for x
    x = 3,732,113.80/2,007.54
  6. Step 6: Final answer
    x = 1,859.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.