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Finding the Fourth Proportional to 3,066.67, 4,599.24 and 875.42

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Solution

The fourth proportional to 3,066.67, 4,599.24 and 875.42 is: 1,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.67 : 4,599.24 = 875.42 : x
  2. Step 2: Convert to fraction form
    3,066.67/4,599.24 = 875.42/x
  3. Step 3: Cross multiply
    3,066.67x = 4,599.24 × 875.42
  4. Step 4: Simplify right side
    3,066.67x = 4,026,266.68
  5. Step 5: Solve for x
    x = 4,026,266.68/3,066.67
  6. Step 6: Final answer
    x = 1,312.91

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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.