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Finding the Fourth Proportional to 2,277.09, 3,415.49 and 633.66

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Solution

The fourth proportional to 2,277.09, 3,415.49 and 633.66 is: 950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.09 : 3,415.49 = 633.66 : x
  2. Step 2: Convert to fraction form
    2,277.09/3,415.49 = 633.66/x
  3. Step 3: Cross multiply
    2,277.09x = 3,415.49 × 633.66
  4. Step 4: Simplify right side
    2,277.09x = 2,164,256.23
  5. Step 5: Solve for x
    x = 2,164,256.23/2,277.09
  6. Step 6: Final answer
    x = 950.45

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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.