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Finding the Fourth Proportional to 3,007.56, 4,511.14 and 1,033

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Solution

The fourth proportional to 3,007.56, 4,511.14 and 1,033 is: 1,549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.56 : 4,511.14 = 1,033 : x
  2. Step 2: Convert to fraction form
    3,007.56/4,511.14 = 1,033/x
  3. Step 3: Cross multiply
    3,007.56x = 4,511.14 × 1,033
  4. Step 4: Simplify right side
    3,007.56x = 4,660,007.62
  5. Step 5: Solve for x
    x = 4,660,007.62/3,007.56
  6. Step 6: Final answer
    x = 1,549.43

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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.