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Finding the Fourth Proportional to 3,066.39, 4,600.26 and 875.30

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Solution

The fourth proportional to 3,066.39, 4,600.26 and 875.30 is: 1,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.39 : 4,600.26 = 875.30 : x
  2. Step 2: Convert to fraction form
    3,066.39/4,600.26 = 875.30/x
  3. Step 3: Cross multiply
    3,066.39x = 4,600.26 × 875.30
  4. Step 4: Simplify right side
    3,066.39x = 4,026,584.58
  5. Step 5: Solve for x
    x = 4,026,584.58/3,066.39
  6. Step 6: Final answer
    x = 1,313.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.