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Finding the Fourth Proportional to 1,511.42, 2,266.72 and 415.52

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Solution

The fourth proportional to 1,511.42, 2,266.72 and 415.52 is: 623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.42 : 2,266.72 = 415.52 : x
  2. Step 2: Convert to fraction form
    1,511.42/2,266.72 = 415.52/x
  3. Step 3: Cross multiply
    1,511.42x = 2,266.72 × 415.52
  4. Step 4: Simplify right side
    1,511.42x = 941,867.49
  5. Step 5: Solve for x
    x = 941,867.49/1,511.42
  6. Step 6: Final answer
    x = 623.17

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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.