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Finding the Fourth Proportional to 3,066.63, 4,600.23 and 875.67

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Solution

The fourth proportional to 3,066.63, 4,600.23 and 875.67 is: 1,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.63 : 4,600.23 = 875.67 : x
  2. Step 2: Convert to fraction form
    3,066.63/4,600.23 = 875.67/x
  3. Step 3: Cross multiply
    3,066.63x = 4,600.23 × 875.67
  4. Step 4: Simplify right side
    3,066.63x = 4,028,283.40
  5. Step 5: Solve for x
    x = 4,028,283.40/3,066.63
  6. Step 6: Final answer
    x = 1,313.59

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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.