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Finding the Fourth Proportional to 3,266.64, 4,899.15 and 926.10

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Solution

The fourth proportional to 3,266.64, 4,899.15 and 926.10 is: 1,388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.64 : 4,899.15 = 926.10 : x
  2. Step 2: Convert to fraction form
    3,266.64/4,899.15 = 926.10/x
  3. Step 3: Cross multiply
    3,266.64x = 4,899.15 × 926.10
  4. Step 4: Simplify right side
    3,266.64x = 4,537,102.82
  5. Step 5: Solve for x
    x = 4,537,102.82/3,266.64
  6. Step 6: Final answer
    x = 1,388.92

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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.