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Finding the Fourth Proportional to 3,287.72, 4,931.69 and 1,066.49

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Solution

The fourth proportional to 3,287.72, 4,931.69 and 1,066.49 is: 1,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.72 : 4,931.69 = 1,066.49 : x
  2. Step 2: Convert to fraction form
    3,287.72/4,931.69 = 1,066.49/x
  3. Step 3: Cross multiply
    3,287.72x = 4,931.69 × 1,066.49
  4. Step 4: Simplify right side
    3,287.72x = 5,259,598.07
  5. Step 5: Solve for x
    x = 5,259,598.07/3,287.72
  6. Step 6: Final answer
    x = 1,599.77

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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.