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Finding the Fourth Proportional to 1,523.10, 2,284.64 and 427.41

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Solution

The fourth proportional to 1,523.10, 2,284.64 and 427.41 is: 641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.10 : 2,284.64 = 427.41 : x
  2. Step 2: Convert to fraction form
    1,523.10/2,284.64 = 427.41/x
  3. Step 3: Cross multiply
    1,523.10x = 2,284.64 × 427.41
  4. Step 4: Simplify right side
    1,523.10x = 976,477.45
  5. Step 5: Solve for x
    x = 976,477.45/1,523.10
  6. Step 6: Final answer
    x = 641.11

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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.