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Finding the Fourth Proportional to 3,187.70, 4,785.69 and 2,457.80

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Solution

The fourth proportional to 3,187.70, 4,785.69 and 2,457.80 is: 3,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.70 : 4,785.69 = 2,457.80 : x
  2. Step 2: Convert to fraction form
    3,187.70/4,785.69 = 2,457.80/x
  3. Step 3: Cross multiply
    3,187.70x = 4,785.69 × 2,457.80
  4. Step 4: Simplify right side
    3,187.70x = 11,762,268.88
  5. Step 5: Solve for x
    x = 11,762,268.88/3,187.70
  6. Step 6: Final answer
    x = 3,689.89

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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.