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Finding the Fourth Proportional to 2,277.32, 3,415.98 and 633.87

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Solution

The fourth proportional to 2,277.32, 3,415.98 and 633.87 is: 950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.32 : 3,415.98 = 633.87 : x
  2. Step 2: Convert to fraction form
    2,277.32/3,415.98 = 633.87/x
  3. Step 3: Cross multiply
    2,277.32x = 3,415.98 × 633.87
  4. Step 4: Simplify right side
    2,277.32x = 2,165,266.99
  5. Step 5: Solve for x
    x = 2,165,266.99/2,277.32
  6. Step 6: Final answer
    x = 950.80

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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.