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Finding the Fourth Proportional to 2,007.45, 2,770.18 and 1,111.14

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Solution

The fourth proportional to 2,007.45, 2,770.18 and 1,111.14 is: 1,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.45 : 2,770.18 = 1,111.14 : x
  2. Step 2: Convert to fraction form
    2,007.45/2,770.18 = 1,111.14/x
  3. Step 3: Cross multiply
    2,007.45x = 2,770.18 × 1,111.14
  4. Step 4: Simplify right side
    2,007.45x = 3,078,055.03
  5. Step 5: Solve for x
    x = 3,078,055.03/2,007.45
  6. Step 6: Final answer
    x = 1,533.32

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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.