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Finding the Fourth Proportional to 2,762.21, 4,139.43 and 2,349.71

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Solution

The fourth proportional to 2,762.21, 4,139.43 and 2,349.71 is: 3,521.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.21 : 4,139.43 = 2,349.71 : x
  2. Step 2: Convert to fraction form
    2,762.21/4,139.43 = 2,349.71/x
  3. Step 3: Cross multiply
    2,762.21x = 4,139.43 × 2,349.71
  4. Step 4: Simplify right side
    2,762.21x = 9,726,461.60
  5. Step 5: Solve for x
    x = 9,726,461.60/2,762.21
  6. Step 6: Final answer
    x = 3,521.27

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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.