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Finding the Fourth Proportional to 3,066.32, 4,599.70 and 875.22

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Solution

The fourth proportional to 3,066.32, 4,599.70 and 875.22 is: 1,312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.32 : 4,599.70 = 875.22 : x
  2. Step 2: Convert to fraction form
    3,066.32/4,599.70 = 875.22/x
  3. Step 3: Cross multiply
    3,066.32x = 4,599.70 × 875.22
  4. Step 4: Simplify right side
    3,066.32x = 4,025,749.43
  5. Step 5: Solve for x
    x = 4,025,749.43/3,066.32
  6. Step 6: Final answer
    x = 1,312.89

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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.