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Finding the Fourth Proportional to 3,041.36, 4,562.73 and 961.49

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Solution

The fourth proportional to 3,041.36, 4,562.73 and 961.49 is: 1,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.36 : 4,562.73 = 961.49 : x
  2. Step 2: Convert to fraction form
    3,041.36/4,562.73 = 961.49/x
  3. Step 3: Cross multiply
    3,041.36x = 4,562.73 × 961.49
  4. Step 4: Simplify right side
    3,041.36x = 4,387,030.67
  5. Step 5: Solve for x
    x = 4,387,030.67/3,041.36
  6. Step 6: Final answer
    x = 1,442.46

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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.